Stable Solutions of Elliptic Partial Differential Equations, Dupaigne, Louis
Автор: Oksendal Название: Stochastic Differential Equations ISBN: 3540047581 ISBN-13(EAN): 9783540047582 Издательство: Springer Рейтинг: Цена: 54820.00 T Наличие на складе: Есть Описание: Gives an introduction to the basic theory of stochastic calculus and its applications. This book offers examples in order to motivate and illustrate the theory and show its importance for many applications in for example economics, biology and physics.
Автор: Dupaigne, Louis Название: Stable Solutions of Elliptic Partial Differential Equations ISBN: 0367382970 ISBN-13(EAN): 9780367382971 Издательство: Taylor&Francis Рейтинг: Цена: 65320.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces).
Stable Solutions of Elliptic Partial Differential Equations offers a self-contained presentation of the notion of stability in elliptic partial differential equations (PDEs). The central questions of regularity and classification of stable solutions are treated at length. Specialists will find a summary of the most recent developments of the theory, such as nonlocal and higher-order equations. For beginners, the book walks you through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional inequalities commonly used in this field. The text also includes two additional topics: the inverse-square potential and some background material on submanifolds of Euclidean space.
Автор: Alexander A. Kovalevsky, Igor I. Skrypnik, Andrey E. Shishkov Название: Singular Solutions of Nonlinear Elliptic and Parabolic Equations ISBN: 3110315483 ISBN-13(EAN): 9783110315486 Издательство: Walter de Gruyter Цена: 223090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph looks at several trends in the investigation of singular solutions of nonlinear elliptic and parabolic equations. It discusses results on the existence and properties of weak and entropy solutions for elliptic second-order equations and some classes of fourth-order equations with L1-data and questions on the removability of singularities of solutions to elliptic and parabolic second-order equations in divergence form. It looks at localized and nonlocalized singularly peaking boundary regimes for different classes of quasilinear parabolic second- and high-order equations in divergence form.The book will be useful for researchers and post-graduate students that specialize in the field of the theory of partial differential equations and nonlinear analysis.Contents:ForewordPart I: Nonlinear elliptic equations with L^1-dataNonlinear elliptic equations of the second order with L^1-dataNonlinear equations of the fourth order with strengthened coercivity and L^1-dataPart II: Removability of singularities of the solutions of quasilinear elliptic and parabolic equations of the second orderRemovability of singularities of the solutions of quasilinear elliptic equationsRemovability of singularities of the solutions of quasilinear parabolic equationsQuasilinear elliptic equations with coefficients from the Kato classPart III: Boundary regimes with peaking for quasilinear parabolic equationsEnergy methods for the investigation of localized regimes with peaking for parabolic second-order equationsMethod of functional inequalities in peaking regimes for parabolic equations of higher ordersNonlocalized regimes with singular peakingAppendix: Formulations and proofs of the auxiliary resultsBibliography
Автор: Cristian Rios, Eric Sawyer, Lyudmila Korobenko, Ruipeng Shen Название: Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations with Rough Coefficients ISBN: 1470444011 ISBN-13(EAN): 9781470444013 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 80390.00 T Наличие на складе: Поставка под заказ. Описание: The argument that digitalisation fosters economic activity has become clear during the current COVID-19 crisis. This report argues that because digital technologies are general purpose, useable across a wide variety of economic activities, the gains from achieving universal coverage of digital services are likely to be large and shared across the economies.
Автор: Korman Philip Название: Global Solution Curves For Semilinear Elliptic Equations ISBN: 9814374342 ISBN-13(EAN): 9789814374347 Издательство: World Scientific Publishing Рейтинг: Цена: 84480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set.
Автор: Vitaly Volpert Название: Elliptic Partial Differential Equations ISBN: 3034808127 ISBN-13(EAN): 9783034808125 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book offers a systematic investigation of reaction-diffusion equations including existence, stability and bifurcations of solutions. It presents numerous examples and applications from population dynamics, chemical physics and biomedical models.
Автор: Yu.V. Egorov; M. Capinski; M.S. Agranovich; S.D. E Название: Partial Differential Equations VI ISBN: 3540546782 ISBN-13(EAN): 9783540546788 Издательство: Springer Рейтинг: Цена: 153720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Covers topics in the field of partial differential equations. Written by well-known researchers and part of a multi-volume subseries of the EMS devoted to partial differential equations, this book is useful to graduate students and researchers in mathematics and theoretical physics as well as engineers who are interested in this subject.
Автор: Dret, Herve Le Название: Nonlinear elliptic partial differential equations ISBN: 3319783890 ISBN-13(EAN): 9783319783895 Издательство: Springer Рейтинг: Цена: 60550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.
Автор: Thomas H. Otway Название: Elliptic–Hyperbolic Partial Differential Equations ISBN: 3319197606 ISBN-13(EAN): 9783319197609 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Vitaly Volpert Название: Elliptic Partial Differential Equations ISBN: 3034803222 ISBN-13(EAN): 9783034803229 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The theory of general elliptic problems is presented in the first part of the book. A particular attention is brought to elliptic problems in unbounded domains. The second part is devoted to reaction-diffusion equations.
Автор: Sayas Название: Variational Techniques for Elliptic Partial Differential Equations ISBN: 1138580880 ISBN-13(EAN): 9781138580886 Издательство: Taylor&Francis Рейтинг: Цена: 93910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book, intended for graduate students studying applied math, analysis, and/or numerical analysis, provides the necessary tools to understand the structure and solvability of elliptic partial differential equations.
This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects:
The existence of separable singular solutions enables the description of isolated singularities of general solutions. The construction of singular solutions is delicate and cannot be done without the understanding of the spherical p-harmonic eigenvalue problem.
When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions such as the curvature. A priori estimates and Liouville type problems are analyzed.
When the equations are considered with a forcing term in the class of measures, their study is strongly linked to the properties of a class of potentials appearing in harmonic analysis such as the Riesz, the Bessel or the Wolff potentials and to their associated capacities. Necessary and sufficient conditions for existence of solutions link the continuity of the measure with respect to some appropriate capacity.
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