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Stable Solutions of Elliptic Partial Differential Equations, Dupaigne, Louis


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Цена: 65320.00T
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Автор: Dupaigne, Louis
Название:  Stable Solutions of Elliptic Partial Differential Equations
ISBN: 9780367382971
Издательство: Taylor&Francis
Классификация:

ISBN-10: 0367382970
Обложка/Формат: Paperback
Страницы: 336
Вес: 0.62 кг.
Дата издания: 27.09.2019
Язык: English
Размер: 252 x 175 x 15
Читательская аудитория: Professional & vocational
Основная тема: Differential Equations
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Европейский союз
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.



Stochastic Differential Equations

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.

Variational Techniques for Elliptic Partial Differential 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.

Stable Solutions of Elliptic Partial Differential Equations

Автор: Dupaigne, Louis
Название: Stable Solutions of Elliptic Partial Differential Equations
ISBN: 1420066544 ISBN-13(EAN): 9781420066548
Издательство: Taylor&Francis
Рейтинг:
Цена: 183750.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.

Morse Index of Solutions of Nonlinear Elliptic Equations

Автор: Lucio Damascelli, Filomena Pacella
Название: Morse Index of Solutions of Nonlinear Elliptic Equations
ISBN: 311053732X ISBN-13(EAN): 9783110537321
Издательство: Walter de Gruyter
Цена: 123910.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief Jurgen Appell, Wurzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Torun, Poland Vicentiu D. Radulescu, Krakow, Poland Simeon Reich, Haifa, Israel Please submit book proposals to Jurgen Appell . Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy–Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Entire Solutions of Semilinear Elliptic Equations

Автор: Ilya A. Kuzin; Stanislav I. Pohozaev
Название: Entire Solutions of Semilinear Elliptic Equations
ISBN: 3034899629 ISBN-13(EAN): 9783034899628
Издательство: Springer
Рейтинг:
Цена: 130390.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Semilinear elliptic equations play an important role in many areas of mathematics and its applications to other sciences. This book presents a wealth of modern methods to solve such equations.Readers of this exposition will be advanced students and researchers in mathematics, physics and other.

Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations with Rough Coefficients

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.

Singular Solutions of Nonlinear Elliptic and Parabolic Equations

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

Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations

Автор: Lorenzi, Luca , Rhandi, Adbelaziz
Название: Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations
ISBN: 0367206293 ISBN-13(EAN): 9780367206291
Издательство: Taylor&Francis
Рейтинг:
Цена: 193950.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book aims to propose a unified approach to elliptic and parabolic equations with bounded and smooth coefficients. The book will highlight the connections between these equations and the theory of semigroups of operators.

Global Solution Curves For Semilinear Elliptic Equations

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.

Elliptic Partial Differential Equations

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.

Elliptic and Parabolic Equations Involving the Hardy-Leray Potential

Автор: Fernando Soria de Diego, Ireneo Peral Alonso
Название: Elliptic and Parabolic Equations Involving the Hardy-Leray Potential
ISBN: 3110603462 ISBN-13(EAN): 9783110603460
Издательство: Walter de Gruyter
Рейтинг:
Цена: 144980.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.

Editor-in-Chief
Jurgen Appell, Wurzburg, Germany

Honorary and Advisory Editors
Catherine Bandle, Basel, Switzerland
Alain Bensoussan, Richardson, Texas, USA
Avner Friedman, Columbus, Ohio, USA
Umberto Mosco, Worcester, Massachusetts, USA

Editorial Board
Manuel del Pino, Bath, UK, and Santiago, Chile
Mikio Kato, Nagano, Japan
Wojciech Kryszewski, Torun, Poland
Vicentiu D. Radulescu, Krakow, Poland
Simeon Reich, Haifa, Israel

Please submit book proposals to Jurgen Appell.

Titles in planning include
Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy–Leray Potential (2020)
Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020)
Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)


Local And Global Aspects Of Quasilinear Degenerate Elliptic Equations: Quasilinear Elliptic Singular Problems

Автор: Veron Laurent
Название: Local And Global Aspects Of Quasilinear Degenerate Elliptic Equations: Quasilinear Elliptic Singular Problems
ISBN: 9814730327 ISBN-13(EAN): 9789814730327
Издательство: World Scientific Publishing
Рейтинг:
Цена: 158400.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

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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