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Relevant bibliographies by topics / Principle of quasi-regularity

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Academic literature on the topic 'Principle of quasi-regularity'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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

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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Principle of quasi-regularity"

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Ткаченко, Е. Н., Віктор Миколайович Супрун, Виктор Николаевич Супрун та Viktor Mykolaiovych Suprun. "Моделирование биологических систем с применением принципа квазирегулярности". Thesis, Видавництво СумДУ, 2011. http://essuir.sumdu.edu.ua/handle/123456789/10553.

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