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Journal articles on the topic 'A priori estimate'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Chen, Wenxiong, and Congming Li. "A priori estimate for the Nirenberg problem." Discrete & Continuous Dynamical Systems - S 1, no. 2 (2008): 225–33. http://dx.doi.org/10.3934/dcdss.2008.1.225.

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2

Yeh, Li-Ming. "A priori estimate for non-uniform elliptic equations." Journal of Differential Equations 250, no. 4 (2011): 1828–49. http://dx.doi.org/10.1016/j.jde.2010.11.006.

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3

Wang, Jianye, and Rui Ma. "Unified a Priori Error Estimate and a Posteriori Error Estimate of CIP-FEM for Elliptic Equations." Advances in Applied Mathematics and Mechanics 8, no. 4 (2016): 517–35. http://dx.doi.org/10.4208/aamm.2014.m834.

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AbstractThis paper is devoted to a unified a priori and a posteriori error analysis of CIP-FEM (continuous interior penalty finite element method) for second-order elliptic problems. Compared with the classic a priori error analysis in literature, our technique can easily apply for any type regularity assumption on the exact solution, especially for the case of lowerH1+sweak regularity under consideration, where 0 ≤s≤ 1/2. Because of the penalty term used in the CIP-FEM, Galerkin orthogonality is lost and Céa Lemma for conforming finite element methods can not be applied immediately when 0≤s≤1

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4

Mecheri, Hacene, and Maryam G. Alshehri. "A priori estimate for resolving the boundary fractional problem." AIMS Mathematics 8, no. 1 (2022): 765–74. http://dx.doi.org/10.3934/math.2023037.

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<abstract><p>The energy inequality method (or a priori estimation) known in classical cases has been adopted for fractional evolution equations associated with initial conditions and boundary integral conditions. We prove the existence and uniqueness of the solution to the problem described in the following.</p></abstract>

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5

Yoshida, Mayumi, Keiya Yumimoto, Takashi M. Nagao, Taichu Y. Tanaka, Maki Kikuchi, and Hiroshi Murakami. "Satellite retrieval of aerosol combined with assimilated forecast." Atmospheric Chemistry and Physics 21, no. 3 (2021): 1797–813. http://dx.doi.org/10.5194/acp-21-1797-2021.

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Abstract. We developed a new aerosol satellite retrieval algorithm combining a numerical aerosol forecast. In the retrieval algorithm, the short-term forecast from an aerosol data assimilation system was used as an a priori estimate instead of spatially and temporally constant values. This method was demonstrated using observation of the Advanced Himawari Imager onboard the Japan Meteorological Agency's geostationary satellite Himawari-8. Overall, the retrieval results incorporated strengths of the observation and the model and complemented their respective weaknesses, showing spatially finer

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Tenkanen, Maria, Aki Tsuruta, Kimmo Rautiainen, Vilma Kangasaho, Raymond Ellul, and Tuula Aalto. "Utilizing Earth Observations of Soil Freeze/Thaw Data and Atmospheric Concentrations to Estimate Cold Season Methane Emissions in the Northern High Latitudes." Remote Sensing 13, no. 24 (2021): 5059. http://dx.doi.org/10.3390/rs13245059.

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The northern wetland methane emission estimates have large uncertainties. Inversion models are a qualified method to estimate the methane fluxes and emissions in northern latitudes but when atmospheric observations are sparse, the models are only as good as their a priori estimates. Thus, improving a priori estimates is a competent way to reduce uncertainties and enhance emission estimates in the sparsely sampled regions. Here, we use a novel way to integrate remote sensing soil freeze/thaw (F/T) status from SMOS satellite to better capture the seasonality of methane emissions in the northern

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7

Ou, Shifeng, Peng Song, and Ying Gao. "Phase-Sensitive Decision-Directed SNR Estimator for Single-Channel Speech Enhancement." International Journal of Pattern Recognition and Artificial Intelligence 31, no. 08 (2017): 1758003. http://dx.doi.org/10.1142/s0218001417580034.

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The a priori signal-to-noise ratio (SNR) plays an essential role in many speech enhancement systems. Most of the existing approaches to estimate the a priori SNR only exploit the amplitude spectra while making the phase neglected. Considering the fact that incorporating phase information into a speech processing system can significantly improve the speech quality, this paper proposes a phase-sensitive decision-directed (DD) approach for the a priori SNR estimate. By representing the short-time discrete Fourier transform (STFT) signal spectra geometrically in a complex plane, the proposed appro

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8

Niu, Chun Feng, Shi Ping Liu, and Zhong Yuan Wang. "Estimate of Flying Projectile Attitude Based on MEMS Gyroscope Measurements." Applied Mechanics and Materials 236-237 (November 2012): 236–41. http://dx.doi.org/10.4028/www.scientific.net/amm.236-237.236.

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To estimate the flight attitude angles of Guided Projectile rapidly and accurately to realize the precise control, angular motion equations and MEMS gyroscope measurements were used to build the state equation and the measurement equationcombined withthe ballistic priori knowledge. Based on the unscented kalman filter for nonlinear system, an approach of estimating the attitude angles of Guided Projectile was proposed. Taking a certain type of Guided Projectile as an example, the data of triaxial angular velocities with the measurement noise was considered as the output signal of MEMS gyros, a

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9

Kulawik, S. S., K. W. Bowman, M. Luo, C. D. Rodgers, and L. Jourdain. "Impact of nonlinearity on changing the a priori of trace gas profile estimates from the Tropospheric Emission Spectrometer (TES)." Atmospheric Chemistry and Physics 8, no. 12 (2008): 3081–92. http://dx.doi.org/10.5194/acp-8-3081-2008.

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Abstract. Non-linear maximum a posteriori (MAP) estimates of atmospheric profiles from the Tropospheric Emission Spectrometer (TES) contains a priori information that may vary geographically, which is a confounding factor in the analysis and physical interpretation of an ensemble of profiles. One mitigation strategy is to transform profile estimates to a common prior using a linear operation thereby facilitating the interpretation of profile variability. However, this operation is dependent on the assumption of not worse than moderate non-linearity near the solution of the non-linear estimate.

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10

Mesloub, Said, and Faten Aldosari. "Even Higher Order Fractional Initial Boundary Value Problem with Nonlocal Constraints of Purely Integral Type." Symmetry 11, no. 3 (2019): 305. http://dx.doi.org/10.3390/sym11030305.

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In this paper, the a priori estimate method, the so-called energy inequalities method based on some functional analysis tools is developed for a Caputo time fractional 2 m th order diffusion wave equation with purely nonlocal conditions of integral type. Existence and uniqueness of the solution are proved. The proofs of the results are based on some a priori estimates and on some density arguments.

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11

Fontes, M., and O. Verdier. "Simplified a priori estimate for the time periodic Burgers’ equation." Proceedings of the Estonian Academy of Sciences 59, no. 1 (2010): 34. http://dx.doi.org/10.3176/proc.2010.1.06.

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12

Min, Ji. "An a priori estimate for Douglas problem in Riemannian manifolds." Acta Mathematica Sinica 5, no. 3 (1989): 235–49. http://dx.doi.org/10.1007/bf02107550.

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13

Chaturantabut, Saifon. "Temporal localized nonlinear model reduction with a priori error estimate." Applied Numerical Mathematics 119 (September 2017): 225–38. http://dx.doi.org/10.1016/j.apnum.2017.02.014.

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14

Steensen, Birthe Marie, Arve Kylling, Nina Iren Kristiansen, and Michael Schulz. "Uncertainty assessment and applicability of an inversion method for volcanic ash forecasting." Atmospheric Chemistry and Physics 17, no. 14 (2017): 9205–22. http://dx.doi.org/10.5194/acp-17-9205-2017.

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Abstract. Significant improvements in the way we can observe and model volcanic ash clouds have been obtained since the 2010 Eyjafjallajökull eruption. One major development has been the application of data assimilation techniques, which combine models and satellite observations such that an optimal understanding of ash clouds can be gained. Still, questions remain regarding the degree to which the forecasting capabilities are improved by inclusion of such techniques and how these improvements depend on the data input. This study explores how different satellite data and different uncertainty

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15

Navari, M., S. A. Margulis, S. M. Bateni, M. Tedesco, P. Alexander, and X. Fettweis. "Improving a priori regional climate model estimates of Greenland ice sheet surface mass loss through assimilation of measured ice surface temperatures." Cryosphere Discussions 9, no. 3 (2015): 3205–55. http://dx.doi.org/10.5194/tcd-9-3205-2015.

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Abstract. The Greenland ice sheet (GrIS) has been the focus of climate studies due to its considerable impact on sea level rise. Accurate estimates of surface mass fluxes would contribute to understanding the cause of its recent unprecedented changes and would help to better estimate the past, current and future contribution of the GrIS to sea level rise. Though the estimates of the GrIS surface mass balance have improved significantly over the last decade, there is considerable disparity between the results from different methodologies that need to be addressed. In this study, an Ensemble Bat

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16

Leon, D., G. Vali, and M. Lothon. "Dual-Doppler Analysis in a Single Plane from an Airborne Platform." Journal of Atmospheric and Oceanic Technology 23, no. 1 (2006): 3–22. http://dx.doi.org/10.1175/jtech1820.1.

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Abstract A modified dual-Doppler analysis technique for use with airborne Doppler radars utilizing two fixed beams is presented. Although the data collected by such a system would ideally lie in the plane defined by the radar beam orientations and the aircraft velocity vector, variations in the aircraft attitude and drift angles lead to displacements between the radar observations and the idealized observation plane. These variations motivated the development of a formal framework in which an a priori velocity estimate is used in conjunction with the two Doppler velocity measurements to form a

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17

Montenegro, Marcelo. "Positive solutions of higher order quasilinear elliptic equations." Abstract and Applied Analysis 7, no. 8 (2002): 423–52. http://dx.doi.org/10.1155/s1085337502204030.

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The higher order quasilinear elliptic equation−Δ(Δp(Δu))=f(x,u)subject to Dirichlet boundary conditions may have unique and regular positive solution. If the domain is a ball, we obtain a priori estimate to the radial solutions via blowup. Extensions to systems and general domains are also presented. The basic ingredients are the maximum principle, Moser iterative scheme, an eigenvalue problem, a priori estimates by rescalings, sub/supersolutions, and Krasnosel'skiĭ fixed point theorem.

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18

Kulawik, S. S., K. W. Bowman, M. Luo, C. D. Rodgers, and L. Jourdain. "Technical Note: Impact of nonlinearity on changing the a priori of trace gas profiles estimates from the Tropospheric Emission Spectrometer (TES)." Atmospheric Chemistry and Physics Discussions 8, no. 1 (2008): 1261–89. http://dx.doi.org/10.5194/acpd-8-1261-2008.

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Abstract. Non-linear optimal estimates of atmospheric profiles from the Tropospheric Emission Spectrometer (TES) may contain a priori information that varies geographically, which is a confounding factor in the analysis and physical interpretation of an ensemble of profiles. A common strategy is to transform these profile estimates to a common prior using a linear operation thereby facilitating the interpretation of profile variability. However, this operation is dependent on the assumption of not worse than moderate non-linearity near the solution of the non-linear estimate. We examines the r

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19

LIU, YANG, HONG LI, SIRIGULENG HE, ZHICHAO FANG, and JINFENG WANG. "A NEW CHARACTERISTIC EXPANDED MIXED METHOD FOR SOBOLEV EQUATION WITH CONVECTION TERM." International Journal of Modeling, Simulation, and Scientific Computing 05, no. 01 (2013): 1350015. http://dx.doi.org/10.1142/s1793962313500153.

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In this paper, a new numerical method based on a new expanded mixed scheme and the characteristic method is developed and discussed for Sobolev equation with convection term. The hyperbolic part [Formula: see text] is handled by the characteristic method and the diffusion term ∇ ⋅ (a(x, t)∇u+b(x, t)∇ut) is approximated by the new expanded mixed method, whose gradient belongs to the simple square integrable (L2(Ω))2 space instead of the classical H( div ; Ω) space. For a priori error estimates, some important lemmas based on the new expanded mixed projection are introduced. An optimal priori er

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20

Kountouris, Panagiotis, Christoph Gerbig, Christian Rödenbeck, Ute Karstens, Thomas F. Koch, and Martin Heimann. "Atmospheric CO<sub>2</sub> inversions on the mesoscale using data-driven prior uncertainties: quantification of the European terrestrial CO<sub>2</sub> fluxes." Atmospheric Chemistry and Physics 18, no. 4 (2018): 3047–64. http://dx.doi.org/10.5194/acp-18-3047-2018.

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Abstract. Optimized biogenic carbon fluxes for Europe were estimated from high-resolution regional-scale inversions, utilizing atmospheric CO2 measurements at 16 stations for the year 2007. Additional sensitivity tests with different data-driven error structures were performed. As the atmospheric network is rather sparse and consequently contains large spatial gaps, we use a priori biospheric fluxes to further constrain the inversions. The biospheric fluxes were simulated by the Vegetation Photosynthesis and Respiration Model (VPRM) at a resolution of 0.1° and optimized against eddy covariance

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21

Kubacki, Jan. "Zastosowanie hierarchicznej estymacji bayesowskiej w szacowaniu wartości dochodów ludności w powiatach." Wiadomości Statystyczne. The Polish Statistician 2014, no. 9 (2014): 21–45. http://dx.doi.org/10.59139/ws.2014.09.2.

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The author presents a method of hierarchical bayesian estimation to estimate the value of the different income variables on the basis of studies of household budgets and POLTAX tax register. Calculations have been made for the case where approximately known a priori evaluation of hyperparameters used to construct a conditional probability, which is used in the model. The author compares the efficiency of the estimates obtained by using other hierarchical methods of estimation for small areas, including the EBLUP estimators type. This gave congruity in precision of the estimated parameters usin

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22

Monsurrò, Sara, and Maria Transirico. "AnLp-Estimate for Weak Solutions of Elliptic Equations." Abstract and Applied Analysis 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/376179.

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23

Trafimow, David, and Joshua Uhalt. "The inaccuracy of sample-based confidence intervals to estimate a priori ones." Methodology 16, no. 2 (2020): 112–26. http://dx.doi.org/10.5964/meth.2807.

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Confidence intervals (CIs) constitute the most popular alternative to widely criticized null hypothesis significance tests. CIs provide more information than significance tests and lend themselves well to visual displays. Although CIs are no better than significance tests when used solely as significance tests, researchers need not limit themselves to this use of CIs. Rather, CIs can be used to estimate the precision of the data, and it is the precision argument that may set CIs in a superior position to significance tests. We tested two versions of the precision argument by performing compute

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24

Askhabov, S. N. "INITIAL PROBLEM FOR A THIRD ORDER NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS OF CONVOLUTION TYPE." Дифференциальные уравнения 60, no. 4 (2024): 521–32. http://dx.doi.org/10.31857/s0374064124040075.

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The article obtains two-sided a priori estimates for the solution of a homogeneous third-order Volterra integro-differential equation with power-law nonlinearity and a difference kernel. It is shown that the lower a priori estimate, which plays the role of a weight function when constructing a metric in the cone of the space of continuous functions, is unimprovable. Using these estimates, using the method of weight metrics (analogous to A. Bielecki’s method), a global theorem on the existence, uniqueness and method of finding a nontrivial solution to the initial problem for the specified integ

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25

Mauerberger, S., M. Schanner, M. Korte, and M. Holschneider. "Correlation based snapshot models of the archeomagnetic field." Geophysical Journal International 223, no. 1 (2020): 648–65. http://dx.doi.org/10.1093/gji/ggaa336.

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SUMMARY For the time stationary global geomagnetic field, a new modelling concept is presented. A Bayesian non-parametric approach provides realistic location dependent uncertainty estimates. Modelling related variabilities are dealt with systematically by making little subjective a priori assumptions. Rather than parametrizing the model by Gauss coefficients, a functional analytic approach is applied. The geomagnetic potential is assumed a Gaussian process to describe a distribution over functions. A priori correlations are given by an explicit kernel function with non-informative dipole cont

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26

Navari, M., S. A. Margulis, S. M. Bateni, M. Tedesco, P. Alexander, and X. Fettweis. "Feasibility of improving a priori regional climate model estimates of Greenland ice sheet surface mass loss through assimilation of measured ice surface temperatures." Cryosphere 10, no. 1 (2016): 103–20. http://dx.doi.org/10.5194/tc-10-103-2016.

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Abstract. The Greenland ice sheet (GrIS) has been the focus of climate studies due to its considerable impact on sea level rise. Accurate estimates of surface mass fluxes would contribute to understanding the cause of its recent changes and would help to better estimate the past, current and future contribution of the GrIS to sea level rise. Though the estimates of the GrIS surface mass fluxes have improved significantly over the last decade, there is still considerable disparity between the results from different methodologies (e.g., Rae et al., 2012; Vernon et al., 2013). The data assimilati

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27

Sivakova, Lenka, Anna Zubkova, and Witalis Pellowski. "Application of a Priori and a Posteriori Estimate on Risk Assessment." Communications - Scientific letters of the University of Zilina 20, no. 2 (2018): 56–61. http://dx.doi.org/10.26552/com.c.2018.2.56-61.

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The problem of setting the values and interconnections between elements of the models in the safety, protection and security field, appears as the biggest obstacle in taking crisis management decisions. The article attempts to represent a mathematical approach to modify the expected values and interconnections that can occur in the models describing the protected system in order to minimize errors caused by subjectivity. Here presented procedures are described in the examples of their potential use. The main idea is to focus on improving estimates for better response to reality, then to find n

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28

Hüeber, S., and B. I. Wohlmuth. "An Optimal A Priori Error Estimate for Nonlinear Multibody Contact Problems." SIAM Journal on Numerical Analysis 43, no. 1 (2005): 156–73. http://dx.doi.org/10.1137/s0036142903436678.

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29

Hofmann, Ralf. "SU(2) Yang-Mills thermodynamics: A priori estimate and radiative corrections." EPJ Web of Conferences 182 (2018): 02053. http://dx.doi.org/10.1051/epjconf/201818202053.

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We review and explain essential characteristics of the a priori estimate of the thermal ground state and its excitations in the deconfining phase of SU(2) Quantum Yang-Mills thermodynamics. This includes the spatially central and peripheral structure of Harrington-Shepard (anti)calorons, a sketch on how a spatial coarse-graining over (anti)caloron centers yields an inert scalar field, which is responsible for an adjoint Higgs mechanism, the identification of (anti)caloron action with ħ, a discussion of how, owing to (anti)caloron structure, the thermal ground state can be excited (wave-like an

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30

Dontchev, Asen L. "An a Priori Estimate for Discrete Approximations in Nonlinear Optimal Control." SIAM Journal on Control and Optimization 34, no. 4 (1996): 1315–28. http://dx.doi.org/10.1137/s036301299426948x.

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31

Hu, Jun, Rui Ma, and ZhongCi Shi. "A new a priori error estimate of nonconforming finite element methods." Science China Mathematics 57, no. 5 (2014): 887–902. http://dx.doi.org/10.1007/s11425-014-4793-3.

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32

Lorca, Sebastián, and Pedro Ubilla. "A priori estimate for a quasilinear problem depending on the gradient." Journal of Mathematical Analysis and Applications 367, no. 1 (2010): 69–74. http://dx.doi.org/10.1016/j.jmaa.2009.12.030.

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33

Faierman, M. "On an A Priori Estimate for Solutions of an Elliptic Equation." Mathematische Nachrichten 170, no. 1 (2006): 39–52. http://dx.doi.org/10.1002/mana.19941700105.

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34

Shevchik, V. "An A Priori Estimate for a Model Semi-Elliptic Differential Operator." Journal of Mathematical Analysis and Applications 268, no. 2 (2002): 385–99. http://dx.doi.org/10.1006/jmaa.2000.6875.

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35

Limanskii, D. V. "ON CHARACTERIZATION OF A SYSTEM OF MINIMAL DIFFERENTIAL OPERATORS BY A PRIORI ESTIMATES IN THE SOBOLEV SPACES." Bulletin of Donetsk National University. Series А. Natural Sciences, no. 2 (September 13, 2024): 38–56. https://doi.org/10.5281/zenodo.13752203.

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In this paper we provide results on the characterization of elliptic and 𝑙-quasielliptic systems of minimal differential operators by a priori estimates in isotropic and anisotropic Sobolev spaces 𝑊𝑙 𝑝,0(R𝑛), 𝑝 ∈ [1,∞]. Fora given set 𝑙 = (𝑙1, . . . , 𝑙𝑛) ∈ N𝑛 we prove criteria for the existence of 𝑙-quasielliptic and weakly coercive systems and indicate wide classes of weakly coercive in 𝑊𝑙 𝑝,0(R𝑛), 𝑝 ∈ [1,∞], nonelliptic, and nonquasielliptic systems.Keywords: a priori estimate, differential operator, coercivity, Sobolev space, tensor product.

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36

Wagner, F. M., C. Mollaret, T. Günther, A. Kemna, and C. Hauck. "Quantitative imaging of water, ice and air in permafrost systems through petrophysical joint inversion of seismic refraction and electrical resistivity data." Geophysical Journal International 219, no. 3 (2019): 1866–75. http://dx.doi.org/10.1093/gji/ggz402.

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SUMMARY Quantitative estimation of pore fractions filled with liquid water, ice and air is crucial for a process-based understanding of permafrost and its hazard potential upon climate-induced degradation. Geophysical methods offer opportunities to image distributions of permafrost constituents in a non-invasive manner. We present a method to jointly estimate the volumetric fractions of liquid water, ice, air and the rock matrix from seismic refraction and electrical resistivity data. Existing approaches rely on conventional inversions of both data sets and a suitable a priori estimate of the

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Krog, Jens, Albertas Dvirnas, Oskar E. Ström, et al. "Photophysical image analysis: Unsupervised probabilistic thresholding for images from electron-multiplying charge-coupled devices." PLOS ONE 19, no. 4 (2024): e0300122. http://dx.doi.org/10.1371/journal.pone.0300122.

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We introduce the concept photophysical image analysis (PIA) and an associated pipeline for unsupervised probabilistic image thresholding for images recorded by electron-multiplying charge-coupled device (EMCCD) cameras. We base our approach on a closed-form analytic expression for the characteristic function (Fourier-transform of the probability mass function) for the image counts recorded in an EMCCD camera, which takes into account both stochasticity in the arrival of photons at the imaging camera and subsequent noise induced by the detection system of the camera. The only assumption in our

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Alvarez, Antonio, Julio del Corral, and Loren W. Tauer. "Modeling Unobserved Heterogeneity in New York Dairy Farms: One-Stage versus Two-Stage Models." Agricultural and Resource Economics Review 41, no. 3 (2012): 275–85. http://dx.doi.org/10.1017/s1068280500001258.

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Agricultural production estimates have often differentiated and estimated different technologies within a sample of farms. The common approach is to use observable farm characteristics to split the sample into groups and subsequently estimate different functions for each group. Alternatively, unique technologies can be determined by econometric procedures such as latent class models. This paper compares the results of a latent class model with the use of a priori information to split the sample using dairy farm data. Latent class separation appears to be a superior method of separating heterog

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39

Secchi, Paolo. "Anisotropic regularity of weakly stable solutions to Majda’s hyperbolic mixed problem." Journal of Hyperbolic Differential Equations 21, no. 03 (2024): 811–26. https://doi.org/10.1142/s0219891624400095.

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In this paper, we study Majda’s example for stability of mixed problems introduced in [A. Majda, Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Applied Mathematical Sciences, Vol. 53 (Springer Verlag, 1984)]. After some transformation we analyze the stability of the problem by computing the roots of the Kreiss–Lopatinskiĭ determinant and recover the different cases as in Majda [Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Applied Mathematical Sciences, Vol. 53 (Springer Verlag, 1984)]. Then, we focus on the weakly st

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40

Kountouris, P., C. Gerbig, C. Rödenbeck, et al. "Atmospheric CO₂ inversions on the mesoscale using data-driven prior uncertainties: quantification of the European terrestrial CO₂ fluxes." Atmospheric Chemistry and Physics 18, no. 4 (2018): 3047–64. https://doi.org/10.5194/acp-18-3047-2018.

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Optimized biogenic carbon fluxes for Europe were estimated from high-resolution regional-scale inversions, utilizing atmospheric CO<sub>2</sub> measurements at 16 stations for the year 2007. Additional sensitivity tests with different data-driven error structures were performed. As the atmospheric network is rather sparse and consequently contains large spatial gaps, we use a priori biospheric fluxes to further constrain the inversions. The biospheric fluxes were simulated by the Vegetation Photosynthesis and Respiration Model (VPRM) at a resolution of 0.1° and optimized against eddy covarianc

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41

Barbraud, Christophe, Adrien Chaigne, Maxime Loubon, Olivier Lamy, and Fabrice Le Bouard. "An estimate of the South Georgia diving petrel Pelecanoides georgicus population at Ile de la Possession, Crozet archipelago." Antarctic Science 32, no. 4 (2020): 248–54. http://dx.doi.org/10.1017/s095410202000019x.

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AbstractBurrow-nesting seabirds constitute an important part of seabird diversity, yet accurate estimates of their abundance are largely lacking, limiting our understanding of their population dynamics and conservation status. We conducted a survey to estimate the number of South Georgia diving petrel (Pelecanoides georgicus) burrows during the 2013–14 breeding season on Ile de la Possession, Crozet archipelago, southern Indian Ocean. We used distance sampling and acoustic playback in order to estimate burrow densities in a priori-selected favourable nesting areas. A total of 855 burrows were

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42

Mesloub, Said, Eman Alhazzani, and Gadain Hassan Eltayeb. "A Non-Local Non-Homogeneous Fractional Timoshenko System with Frictional and Viscoelastic Damping Terms." Axioms 12, no. 7 (2023): 689. http://dx.doi.org/10.3390/axioms12070689.

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We are devoted to the study of a non-local non-homogeneous time fractional Timoshenko system with frictional and viscoelastic damping terms. We are concerned with the well-posedness of the given problem. The approach relies on some functional analysis tools, operator theory, a priori estimates and density arguments. This work can be considered as a contribution to the development of energy inequality methods, the so-called a priori estimate method inspired from functional analyses and used to prove the well-posedness of mixed problems with integral boundary conditions.

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Lin, J. T., M. B. McElroy, and K. F. Boersma. "Constraint of anthropogenic NO<sub>x</sub> emissions in China from different sectors: a new methodology using multiple satellite retrievals." Atmospheric Chemistry and Physics Discussions 9, no. 5 (2009): 19205–41. http://dx.doi.org/10.5194/acpd-9-19205-2009.

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Abstract. A new methodology is developed to constrain Chinese anthropogenic emissions of nitrogen oxides (NOx) from four major sectors (industry, power plants, mobile and residential) in July 2008. It combines tropospheric NO2 column retrievals from GOME-2 and OMI, taking advantage of their different passing time over China (9:30 a.m. local time versus 1:30 p.m.), and explicitly accounts for diurnal variations in anthropogenic emissions of NOx as well as their tropospheric lifetime and column concentrations. The approach is based on the daytime variation of NOx (when its lifetime is relatively

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Mukhamadiev, Е., and A. N. Naimov. "ON THE SOLVABILITY OF A PERIODIC PROBLEM FOR A SYSTEM OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS OF THE SECOND ORDER." Дифференциальные уравнения 60, no. 3 (2024): 312–21. http://dx.doi.org/10.31857/s0374064124030037.

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In this paper is investigated the solvability of a periodic problem for a system of nonlinear ordinary differential equations second order with the main positively homogeneous part. New conditions have been found that provide an a priori estimate solutions of the periodic problem under consideration. The conditions for the a priori estimate are formulated in terms of the properties of the main positively homogeneous part of the system of equations. Under the conditions of an a priori estimate, using and developing methods for calculating the mapping degree, a theorem on the solvability of the

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Aloev, R. D., and M. U. Khudayberganov. "A Discrete Analog of the Lyapunov Function for Hyperbolic Systems." Contemporary Mathematics. Fundamental Directions 64, no. 4 (2018): 591–602. http://dx.doi.org/10.22363/2413-3639-2018-64-4-591-602.

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We study the diﬀerence splitting scheme for the numerical calculation of stable solutions of a two-dimensional linear hyperbolic system with dissipative boundary conditions in the case of constant coeﬃcients with lower terms. A discrete analog of the Lyapunov function is constructed and an a priori estimate is obtained for it. The obtained a priori estimate allows us to assert the exponential stability of the numerical solution.

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Azarskov, Valerii, Klavdiia Solovchuk, Oleksandr Volkov, and Leonid Zhiteckii. "Adaptive suboptimal control of some discrete-time plants with nonstochastic bounded disturbances." International Scientific Technical Journal "Problems of Control and Informatics" 69, no. 2 (2024): 20–32. http://dx.doi.org/10.34229/1028-0979-2024-2-2.

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This paper deals with the adaptive suboptimal control of linear, discrete-time, time-invariant, minimum phase, scalar plants in the presence of nonstochastic bounded unmeasurable disturbances whose upper and lower bounds, which may be asymmetric, are assumed to be unknown a priori. Additional assumption is that an order of the difference equation describing the plant is known a priori. The distinguishing feature of the problem stated in this paper is that neither bounds on the unmeasured disturbances, nor bounds on an allowable region to which the unknown plant parameters belong are assumed to

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Narain, Devika, Robert J. van Beers, Jeroen B. J. Smeets, and Eli Brenner. "Sensorimotor priors in nonstationary environments." Journal of Neurophysiology 109, no. 5 (2013): 1259–67. http://dx.doi.org/10.1152/jn.00605.2012.

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In the course of its interaction with the world, the human nervous system must constantly estimate various variables in the surrounding environment. Past research indicates that environmental variables may be represented as probabilistic distributions of a priori information (priors). Priors for environmental variables that do not change much over time have been widely studied. Little is known, however, about how priors develop in environments with nonstationary statistics. We examine whether humans change their reliance on the prior based on recent changes in environmental variance. Through e

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HIRATA, KENTARO. "TWO-SIDED ESTIMATES FOR POSITIVE SOLUTIONS OF SUPERLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS." Bulletin of the Australian Mathematical Society 98, no. 3 (2018): 465–73. http://dx.doi.org/10.1017/s000497271800093x.

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We give two-sided estimates for positive solutions of the superlinear elliptic problem$-\unicode[STIX]{x1D6E5}u=a(x)|u|^{p-1}u$with zero Dirichlet boundary condition in a bounded Lipschitz domain. Our result improves the well-knowna priori$L^{\infty }$-estimate and provides information about the boundary decay rate of solutions.

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Lin, J. T., M. B. McElroy, and K. F. Boersma. "Constraint of anthropogenic NO<sub>x</sub> emissions in China from different sectors: a new methodology using multiple satellite retrievals." Atmospheric Chemistry and Physics 10, no. 1 (2010): 63–78. http://dx.doi.org/10.5194/acp-10-63-2010.

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Abstract. A new methodology is developed to constrain Chinese anthropogenic emissions of nitrogen oxides (NOx) from four major sectors (industry, power plants, mobile and residential) in July 2008. It combines tropospheric NO2 column retrievals from GOME-2 and OMI, taking advantage of their different passing time over China (~10:00 a.m. LT (local time) versus ~02:00 p.m.) and consistent retrieval algorithms. The approach is based on the difference of NOx columns at the overpass times of the two instruments; it thus is less susceptible to the likely systematic errors embedded in individual retr

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Mamedov, Farman, Sara Monsurrò, and Maria Transirico. "An Application of Potential Estimates to A Priori Bounds for Elliptic Equations." Abstract and Applied Analysis 2016 (2016): 1–6. http://dx.doi.org/10.1155/2016/6463030.

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A potential estimate type approach is used in order to obtain some a priori bounds for the solutions of certain classes of Dirichlet problems associated with nondivergence structure elliptic equations.

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