Elliptic and Parabolic Equations Involving the Hardy-Leray Potential, Fernando Soria de Diego, Ireneo Peral Alonso

Автор: Pao, C. V.
Название: Nonlinear parabolic and elliptic equations
ISBN: 1461363233 ISBN-13(EAN): 9781461363231
Издательство: Springer
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Цена: 158380.00 T
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Описание: In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text for graduate students.

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
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Цена: 193950.00 T
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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.

Автор: Gershon Kresin, Vladimir Maz`ya
Название: Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems
ISBN: 0821889818 ISBN-13(EAN): 9780821889817
Издательство: Mare Nostrum (Eurospan)
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Цена: 96090.00 T
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Описание: The main goal of this book is to present results pertaining to various versions of the maximum principle for elliptic and parabolic systems of arbitrary order. In particular, the authors present necessary and sufficient conditions for validity of the classical maximum modulus principles for systems of second order and obtain sharp constants in inequalities of Miranda-Agmon type and in many other inequalities of a similar nature. Somewhat related to this topic are explicit formulas for the norms and the essential norms of boundary integral operators. The proofs are based on a unified approach using, on one hand, representations of the norms of matrix-valued integral operators whose target spaces are linear and finite dimensional, and, on the other hand, on solving certain finite dimensional optimization problems. This book reflects results obtained by the authors, and can be useful to research mathematicians and graduate students interested in partial differential equations.

Автор: N.V. Krylov
Название: Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations
ISBN: 1470447401 ISBN-13(EAN): 9781470447403
Издательство: Mare Nostrum (Eurospan)
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Цена: 107850.00 T
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Описание: This book concentrates on first boundary-value problems for fully nonlinear second-order uniformly elliptic and parabolic equations with discontinuous coefficients. We look for solutions in Sobolev classes, local or global, or for viscosity solutions. Most of the auxiliary results, such as Aleksandrov's elliptic and parabolic estimates, the Krylov-Safonov and the Evans-Krylov theorems, are taken from old sources, and the main results were obtained in the last few years.Presentation of these results is based on a generalization of the Fefferman-Stein theorem, on Fang-Hua Lin's like estimates, and on the so-called ``ersatz'' existence theorems, saying that one can slightly modify ``any'' equation and get a ``cut-off'' equation that has solutions with bounded derivatives. These theorems allow us to prove the solvability in Sobolev classes for equations that are quite far from the ones which are convex or concave with respect to the Hessians of the unknown functions. In studying viscosity solutions, these theorems also allow us to deal with classical approximating solutions, thus avoiding sometimes heavy constructions from the usual theory of viscosity solutions.

Автор: Joachim Escher; Elmar Schrohe; J?rg Seiler; Christ
Название: Elliptic and Parabolic Equations
ISBN: 3319381504 ISBN-13(EAN): 9783319381503
Издательство: Springer
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Цена: 102480.00 T
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Описание: The international workshop on which this proceedings volume is based on brought together leading researchers in the field of 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
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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: Moshe Marcus, Laurent Veron
Название: Nonlinear Second Order Elliptic Equations Involving Measures
ISBN: 3110305321 ISBN-13(EAN): 9783110305326
Издательство: Walter de Gruyter
Цена: 223090.00 T
Наличие на складе: Невозможна поставка.
Описание: This book presents a comprehensive study of boundary value problems for linear and semilinear second order elliptic equations with measure data,especially semilinear equations with absorption. The interactions between the diffusion operator and the absorption term give rise to a large class of nonlinear phenomena in the study of which singularities and boundary trace play a central role.

Автор: VIOREL BARBU
Название: Controllability and Stabilization of Parabolic Equations
ISBN: 3319766651 ISBN-13(EAN): 9783319766652
Издательство: Springer
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Цена: 93160.00 T
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Описание: This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems.

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
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Цена: 144980.00 T
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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.

Автор: Alexander A. Kovalevsky, Igor I. Skrypnik, Andrey E. Shishkov
Название: Singular Solutions of Nonlinear Elliptic and Parabolic Equations
ISBN: 3110332256 ISBN-13(EAN): 9783110332254
Издательство: Walter de Gruyter
Цена: 333480.00 T
Наличие на складе: Невозможна поставка.
Описание: This monograph looks atseveral trends of investigation of singular solutions of nonlinear elliptic and parabolic equations.It discusses results on the existence and properties of weak and entropy solutions to these equations.It will be useful for researchers and post-graduate students that specialize in the field of the theory of partial differential equations and nonlinear analysis.