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Journal articles on the topic 'Principle of quasi-regularity'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Faria, Luiz F. O., Olímpio H. Miyagaki, and Dumitru Motreanu. "Comparison and Positive Solutions for Problems with the (p, q)-Laplacian and a Convection Term." Proceedings of the Edinburgh Mathematical Society 57, no. 3 (2014): 687–98. http://dx.doi.org/10.1017/s0013091513000576.

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AbstractThe aim of this paper is to prove the existence of a positive solution for a quasi-linear elliptic problem involving the (p, q)-Laplacian and a convection term, which means an expression that is not in the principal part and depends on the solution and its gradient. The solution is constructed through an approximating process based on gradient bounds and regularity up to the boundary. The positivity of the solution is shown by applying a new comparison principle, which is established here.

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2

Choi, Hyungjun. "Global well-posedness of slightly supercritical SQG equations and gradient estimate." Nonlinearity 36, no. 5 (2023): 2166–92. http://dx.doi.org/10.1088/1361-6544/acc2a6.

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Abstract We prove the global regularity of smooth solutions for a dissipative surface quasi-geostrophic (SQG) equation with both velocity and dissipation logarithmically supercritical compared to the critical equation. By this, we mean that a symbol defined as a power of logarithm is added to both velocity and dissipation terms to penalize the equation’s criticality. Our primary tool is the nonlinear maximum principle which provides transparent proofs of global regularity for nonlinear dissipative equations. Combining the nonlinear maximum principle with a modulus of continuity, we prove an un

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3

Barbagallo, Annamaria, and Paolo Mauro. "A Quasi-Variational Approach for the Dynamic Oligopolistic Market Equilibrium Problem." Abstract and Applied Analysis 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/952915.

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The paper is concerned with the dynamic oligopolistic market equilibrium problem in the realistic case in which we allow the presence of capacity constraints and production excesses and, moreover, we assume that the production function depends not only on the time but also on the equilibrium distribution. As a consequence, we introduce the generalized dynamic Cournot-Nash principle in the elastic case and prove the equivalence between this equilibrium definition and a suitable evolutionary quasi-variational inequality. For completeness we make the analysis of existence, regularity, and sensiti

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4

Shakhmurov, Veli B. "Maximal regular boundary value problems in Banach-valued function spaces and applications." International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–26. http://dx.doi.org/10.1155/ijmms/2006/92134.

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The nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. The principal parts of the differential operators generated by these problems are non-selfadjoint. Several conditions for the maximal regularity and the Fredholmness in Banach-valuedLp-spaces of these problems are given. By using these results, the maximal regularity of parabolic nonlocal initial boundary value problems is shown. In applications, the nonlocal boundary value problems for quasi elliptic partial differential equations, nonlocal initial boundary value p

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5

Okhrimenko, Valeria. "SENSE STRUCTURE OF MODAL UNITS “IMPROBABILE”, “CON OGNI PROBABILITÀ” (IN THE ITALIAN LANGUAGE)." PROBLEMS OF SEMANTICS, PRAGMATICS AND COGNITIVE LINGUISTICS, no. 40 (2021): 38–51. http://dx.doi.org/10.17721/2663-6530.2021.40.05.

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The article focuses on appropriateness’s of quantifying of information in microtext of functioning of modal units “improbabile” and “con ogni probabilità” in the Italian language. Modal units“improbabile” and “con ogni probabilità” determine quantifying of information in microtext being nucleus and forming modal structures together with joined components. The modal structure is formed by joined components in according to the regularity rules in the pre-nuclear zone (components combined with modal units “improbabile” and “con ogni probabilità”) and the near-peripheral zone (components used in t

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6

Hajiyeva, V. "THE FUNDAMENTAL ROLE OF QUASI-PARTICLES IN SEMICONDUCTOR PHYSICS." Sciences of Europe, no. 137 (March 26, 2024): 111–15. https://doi.org/10.5281/zenodo.10874780.

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This article explores the fundamental principles governing the behavior of quasi-particles, such as excitons and polarons, in semiconductor physics. It delves into how electrons in crystal structures form energy zones, irrespective of the crystal's long-range regularity, emphasizing the sufficiency of short-range potential structures. By introducing quasi-particles, the study simplifies the complex interactions within solids, highlighting their significance in electrical conductivity and the formation of excitons and polarons. Through a detailed analysis of these particles' formation, movement

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Phan, Tuoc. "Lorentz Estimates for Weak Solutions of Quasi-linear Parabolic Equations with Singular Divergence-free Drifts." Canadian Journal of Mathematics 71, no. 4 (2019): 937–82. http://dx.doi.org/10.4153/cjm-2017-049-3.

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AbstractThis paper investigates regularity in Lorentz spaces for weak solutions of a class of divergence form quasi-linear parabolic equations with singular divergence-free drifts. In this class of equations, the principal terms are vector field functions that are measurable in ($x,t$)-variable, and nonlinearly dependent on both unknown solutions and their gradients. Interior, local boundary, and global regularity estimates in Lorentz spaces for gradients of weak solutions are established assuming that the solutions are in BMO space, the John–Nirenberg space. The results are even new when the

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8

Stephan, Ernst P. "Boundary integral equations for magnetic screens in ℝ3". Proceedings of the Royal Society of Edinburgh: Section A Mathematics 102, № 3-4 (1986): 189–210. http://dx.doi.org/10.1017/s0308210500026299.

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SynopsisA boundary integral method is developed for the scattering of electromagnetic waves at thin obstacles. The exterior boundary value problem for the vector Helmholtz equation with given Neumann data on an open surface piece (screen S) is converted into a system of integral equations for the jumps of the tangential component of the field and its divergence across the screen. A slight modification of the Cauchy data yields a strongly elliptic system of pseudodifferential equations on S which can therefore be used for numerical computations using Galerkin's procedure. The resulting boundary

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9

Savage, J. C., and Robert S. Cockerham. "Quasi-periodic occurrence of earthquakes in the 1978-1986 Bishop-Mammoth Lakes sequence, eastern California." Bulletin of the Seismological Society of America 77, no. 4 (1987): 1347–58. http://dx.doi.org/10.1785/bssa0770041347.

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Abstract In December 1984, Ryall and Hill noted that the five principal events in the Bishop-Mammoth Lakes earthquake sequence occurred at intervals of about 1.5 yr with a standard deviation for an individual event of 0.25 yr. Some data selection was involved in identifying the principal events, although the choices seemed reasonable. The recent Chalfant Valley earthquake (ML = 6.4; 21 July 1986) followed the last prior principal event in the Bishop-Mammoth Lakes sequence by 1.65 yr, and no important activity intervened except one aftershock from the prior event. Thus, the Chalfant Valley eart

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10

SINGH, NITYANAND, and S. K. PATWARDHAN. "Prediction of terrestrial and extraterrestrial parameters by modelling and extrapolating their natural regularities." MAUSAM 52, no. 1 (2021): 117–32. http://dx.doi.org/10.54302/mausam.v52i1.1682.

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Extrapolation of dominant modes of fluctuations after fitting suitable mathematical function to the observed long period time series is one of the approaches to long-term weather or short-term climate prediction. Experiences suggest that reliable predictions can be made from such approaches provided the time series being modeled possesses adequate regularity. Choice of the suitable function is also an important task of the time series modelling-extrapolation-prediction, or TS-MEP, process. Perhaps equally important component of this method is the development of effective filtering module. The

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11

Alpatov, A. P. "Problems in the system analysis of space activities in Ukraine. Rocket and spacecraft dynamics and control." Technical mechanics 2021, no. 2 (2021): 107–25. http://dx.doi.org/10.15407/itm2021.02.107.

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This paper overviews the main research results obtained from 2016 to 2020 at the Department of System Analysis and Control Problems of the Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine. The overview was prepared using the method of phenomenological analysis. The results of the system analysis of the trends in the use of space technologies in different areas of human activities are presented. Methods of draft space program evaluation and R&D program formation algorithms are discussed. Research results on the dynamics of

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12

White, Simon D. M. "Simulations of Disk Galaxy Formation in their Cosmological Context." Proceedings of the International Astronomical Union 4, S254 (2008): 19–20. http://dx.doi.org/10.1017/s1743921308027336.

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AbstractTogether with the discovery of the accelerated expansion of the present Universe and measurements of large-scale structure at low redshift, observations of the cosmic microwave background have established a standard paradigm in which all cosmic structure grew from small fluctuations generated at very early times in a flat universe which today consists of 72% dark energy, 23.5% dark matter and 4.5% ordinary baryons. The CMB sky provides us with a direct image of this universe when it was 400,000 years old and very nearly uniform. The galaxy formation problem is then to understand how ob

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13

Faraci, F., and D. Puglisi. "On the existence of a nodal solution for p-Laplacian equations depending on the gradient." Proceedings of the Royal Society of Edinburgh: Section A Mathematics, January 31, 2024, 1–22. http://dx.doi.org/10.1017/prm.2023.135.

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In the present paper we deal with a quasi-linear elliptic equation depending on a sublinear nonlinearity involving the gradient. We prove the existence of a nontrivial nodal solution employing the theory of invariant sets of descending flow together with sub-supersolution techniques, gradient regularity arguments, strong comparison principle for the $p$ -Laplace operator. The same conclusion is obtained for an eigenvalue problem under a different set of assumptions.

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14

El Idrissi, Rachid, Lahoussine Lafhim, El Mostafa Kalmoun, and Youssef Ouakrim. "Optimality conditions for bilevel optimal control problems with non-convex quasi-variational inequalities." RAIRO - Operations Research, March 11, 2024. http://dx.doi.org/10.1051/ro/2024065.

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We establish Pontryagin optimality conditions for a generalized bilevel optimal control problem in which the leader is subject to a pure state inequality constraint, while the follower is governed by a non-convex quasi-variational inequality parameterized by the final state. To simplify the problem at hand, we convert it into a single-level optimal control problem by mapping the solution set of the quasi-variational inequality to a parametric optimization problem and employing the value function reformulation. Furthermore, we introduce certain regularity conditions to ensure that the derived m

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15

Linares, Pablo, Felix Otto, Markus Tempelmayr, and Pavlos Tsatsoulis. "A diagram-free approach to the stochastic estimates in regularity structures." Inventiones mathematicae, June 14, 2024. http://dx.doi.org/10.1007/s00222-024-01275-z.

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AbstractIn this paper, we explore the version of Hairer’s regularity structures based on a greedier index set than trees, as introduced in (Otto et al. in A priori bounds for quasi-linear SPDEs in the full sub-critical regime, 2021, arXiv:2103.11039) and algebraically characterized in (Linares et al. in Comm. Am. Math. Soc. 3:1–64, 2023). More precisely, we construct and stochastically estimate the renormalized model postulated in (Otto et al. in A priori bounds for quasi-linear SPDEs in the full sub-critical regime, 2021, arXiv:2103.11039), avoiding the use of Feynman diagrams but still in a

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16

de Carvalho, Pitágoras Pinheiro, Juan Límaco, Denilson Menezes, and Yuri Thamsten. "Local null controllability of a class of non-Newtonian incompressible viscous fluids." Evolution Equations & Control Theory, 2021, 0. http://dx.doi.org/10.3934/eect.2021043.

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<p style='text-indent:20px;'>We investigate the null controllability property of systems that mathematically describe the dynamics of some non-Newtonian incompressible viscous flows. The principal model we study was proposed by O. A. Ladyzhenskaya, although the techniques we develop here apply to other fluids having a shear-dependent viscosity. Taking advantage of the Pontryagin Minimum Principle, we utilize a bootstrapping argument to prove that sufficiently smooth controls to the forced linearized Stokes problem exist, as long as the initial data in turn has enough regularity. From the

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17

Bërdëllima, Arian, and Gabriele Steidl. "On $$\alpha $$-Firmly Nonexpansive Operators in r-Uniformly Convex Spaces." Results in Mathematics 76, no. 4 (2021). http://dx.doi.org/10.1007/s00025-021-01481-8.

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AbstractWe introduce the class of $$\alpha $$ α -firmly nonexpansive and quasi $$\alpha $$ α -firmly nonexpansive operators on r-uniformly convex Banach spaces. This extends the existing notion from Hilbert spaces, where $$\alpha $$ α -firmly nonexpansive operators coincide with so-called $$\alpha $$ α -averaged operators. For our more general setting, we show that $$\alpha $$ α -averaged operators form a subset of $$\alpha $$ α -firmly nonexpansive operators. We develop some basic calculus rules for (quasi) $$\alpha $$ α -firmly nonexpansive operators. In particular, we show that their compos

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18

Zhang, Baojian, Xin Fan, Jiadong Han, Longming Fu, and Di Wu. "Green’s functions of steady-state transversely isotropic hygro-thermo-magneto-piezoelectric cones." Mathematics and Mechanics of Solids, July 19, 2022, 108128652211071. http://dx.doi.org/10.1177/10812865221107117.

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Green’s functions of transversely isotropic hygro-thermo-magneto-piezoelectric (HTMP) cones are established. The governing equations of transversely isotropic HTMP media are first simplified by introducing two displacement functions. Steady-state general solutions of transversely isotropic HTMP media expressed by seven quasi-harmonic functions are obtained by the operator theory, superposition principle, and generalized Almansi’s theorem. Furthermore, the three-dimensional problems of a semi-infinite HTMP cone subjected to a point moisture source and a point heat source are analyzed by introdu

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19

Aguayo, Monserrat, Ankai Hernández, José Mena, Julio Oliva, and Marcelo Oyarzo. "Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA." Journal of High Energy Physics 2022, no. 7 (2022). http://dx.doi.org/10.1007/jhep07(2022)021.

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Abstract In this paper we identify a new family of black holes and solitons that lead to the exact integration of scalar probes, even in the presence of a non-minimal coupling with the Ricci scalar which has a non-trivial profile. The backgrounds are planar and spherical black holes as well as solitons of SU (2) × SU (2) $$ \mathcal{N} $$ N = 4 gauged supergravity in four dimensions. On these geometries, we compute the spectrum of (quasi-)normal modes for the non-minimally coupled scalar field. We find that the equation for the radial dependence can be integrated in terms of hypergeometric fun

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20

Fu, Jun-Liang, та Jijun Liu. "Double-parameter regularization for solving the backward diﬀusion problem with parallel-in-time algorithm". Inverse Problems, 30 листопада 2023. http://dx.doi.org/10.1088/1361-6420/ad1131.

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Abstract We propose a double-parameter regularization scheme for dealing with the backward diﬀusion process. Considering the smoothing eﬀect of Yosida approximation for PDE, we propose to regularize this ill-posed problem by modifying original governed system in terms of a pseudoparabolic equation together with a quasi-boundary condition simultaneously, which consequently contains two regularizing parameters. Theoretically, we establish the optimal error estimates between the regularizing solution and the exact one in terms of suitable choice strategy for the regularizing parameters, under a-p

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21

Fraser, Jonathan M., and Alex Rutar. "Assouad-type dimensions of overlapping self-affine sets." Annales Fennici Mathematici 49, no. 1 (2024). http://dx.doi.org/10.54330/afm.142535.

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We study the Assouad and quasi-Assoaud dimensions of dominated rectangular self-affine sets in the plane. In contrast to previous work on the dimension theory of self-affine sets, we assume that the sets satisfy certain separation conditions on the projection to the principal axis, but otherwise have arbitrary overlaps in the plane. We introduce and study regularity properties of a certain symbolic non-autonomous iterated function system corresponding to ``symbolic slices'' of the self-affine set. We then establish dimensional formulas for the self-affine sets in terms of the dimension of the

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22

Chen, Guotao, Yansong Lyu, Huadong Li, Zhiyuan Mei, and Er Zhang. "Study on uniaxial quasi‐static compression properties of polyvinyl chloride foam based on temperature effect." Polymer Engineering & Science, February 10, 2025. https://doi.org/10.1002/pen.27087.

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AbstractThe high‐temperature uniaxial compression performance of polyvinyl chloride (PVC) foams was investigated in the temperature range of 30–180°C, using a combination of experimental tests, numerical calculations, and theoretical model fitting studies. First, thermomechanical compression tests at different temperatures, as well as dynamic thermomechanical analysis (DMA) and thermogravimetric (TG) tests were carried out to elucidate the temperature effect on the mechanical properties and morphological damages with respect to changes in regularity of the PVC foam. Next, Abaqus was employed t

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23

"Spatial Database of Serial Suite-Tectonic Map-sheets of Mainland China (1: 250, 000)." Acta of Geoscientific Data & Discovery 45, S1 (2018): 1–34. https://doi.org/10.54689/gc2018z101.

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For the thematic Program on China’s national mineral resources’ potentials assessment (2006-2013), the research group has collected such abundant references as 1:50,000, 1:200,000 and 1:250,000 regional geological survey data (including the 1:250,000 regional geological survey results from the Qinghai-Tibet plateau in 1999—2005), geological research results, scientific research monographs and important geological literatures as well as geophysical, geochemical, and remote sensing prospecting inferred results. Having digested all these data, the group has compiled serial first-hand data map-she

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