Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications, Mierczynski, Janusz , Shen, Wenxian

Автор: Sergio Albeverio; Michael Demuth; Elmar Schrohe; B
Название: Parabolicity, Volterra Calculus, and Conical Singularities
ISBN: 3034894694 ISBN-13(EAN): 9783034894692
Издательство: Springer
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Цена: 46570.00 T
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Описание: Partial differential equations constitute an integral part of mathematics. One typical example is the analysis on singular configurations, where elliptic equations have been studied successfully within the framework of operator algebras with symbolic structures adapted to the geometry of the underlying space.

Автор: Kato, Junji
Название: Stability of Motion of Nonautonomous Systems (Methods of Limiting Equations)
ISBN: 036745596X ISBN-13(EAN): 9780367455965
Издательство: Taylor&Francis
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Цена: 63280.00 T
Наличие на складе: Невозможна поставка.
Описание: This book explores limiting equations constructed in terms of the Bebutov-Miller-Sell concept, the method of comparison, and Lyapunov`s direct method based on scalar, vector and matrix functions. The stability of abstract compacted and uniform dynamic processes, dispersed systems and evolutionary equations in Banach space are also discussed.

Автор: Robert Denk; Mario Kaip
Название: General Parabolic Mixed Order Systems in Lp and Applications
ISBN: 331937592X ISBN-13(EAN): 9783319375922
Издательство: Springer
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Цена: 79190.00 T
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Описание: This text establishes a theory for general linear parabolic partial differential equations that covers equations with inhomogeneous symbol structure as well as mixed-order systems.

Автор: Emmanuele DiBenedetto; Prof. Ugo Pietro Gianazza U
Название: Harnack`s Inequality for Degenerate and Singular Parabolic Equations
ISBN: 1489999760 ISBN-13(EAN): 9781489999764
Издательство: Springer
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Цена: 111790.00 T
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Описание:

Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years. Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of p-Laplacian and porous medium type, while raised by several authors, has remained basically open. Recently considerable progress has been made on this issue, to the point that, except for the singular sub-critical range, both for the p-laplacian and the porous medium equations, the theory is reasonably complete.

It seemed therefore timely to trace a comprehensive overview, that would highlight the main issues and also the problems that still remain open. The authors give a comprehensive treatment of the Harnack inequality for non-negative solutions to p-laplace and porous medium type equations, both in the degenerate (p>2 or m>1) and in the singular range (1pmThe book is self-contained. Building on a similar monograph by the first author, the authors of the present book focus entirely on the Harnack estimates and on their applications: indeed a number of known regularity results are given a new proof, based on the Harnack inequality. It is addressed to all professionals active in the field, and also to advanced graduate students, interested in understanding the main issues of this fascinating research field.

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: Fuensanta Andreu-Vaillo; Vicent Caselles; Jos? M.
Название: Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
ISBN: 3034896247 ISBN-13(EAN): 9783034896245
Издательство: Springer
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Цена: 46570.00 T
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This book contains a detailed mathematical analysis of the variational approach to image restoration based on the minimization of the total variation submitted to the constraints given by the image acquisition model. This model, initially introduced by Rudin, Osher, and Fatemi, had a strong influence in the development of variational methods for image denoising and restoration, and pioneered the use of the BV model in image processing. After a full analysis of the model, the minimizing total variation flow is studied under different boundary conditions, and its main qualitative properties are exhibited. In particular, several explicit solutions of the denoising problem are computed.

Автор: Watson,
Название: Parabolic Equations on an Infinite Strip
ISBN: 0367451174 ISBN-13(EAN): 9780367451172
Издательство: Taylor&Francis
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Цена: 65320.00 T
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Описание: This book deals with solutions of second order, linear, parabolic partial differential equations on an infinite strip emphasizing their integral representation, their initial values in several senses, and the relations between these. It is useful for graduate students, analysts and specialists.

Автор: Samuil D. Eidelman; Stepan D. Ivasyshen; Anatoly N
Название: Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type
ISBN: 3034895925 ISBN-13(EAN): 9783034895927
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book is devoted to new classes of parabolic differential and pseudo-differential equations extensively studied in the last decades, such as parabolic systems of a quasi-homogeneous structure, degenerate equations of the Kolmogorov type, pseudo-differential parabolic equations, and fractional diffusion equations.

Автор: Gazzola
Название: Geometric Properties for Parabolic and Elliptic PDE`s
ISBN: 3319415360 ISBN-13(EAN): 9783319415369
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book collects recent research papers by respected specialists in the field. It presents advances in the field of geometric properties for parabolic and elliptic partial differential equations, an area that has always attracted great attention. It settles the basic issues (existence, uniqueness, stability and regularity of solutions of initial/boundary value problems) before focusing on the topological and/or geometric aspects. These topics interact with many other areas of research and rely on a wide range of mathematical tools and techniques, both analytic and geometric. The Italian and Japanese mathematical schools have a long history of research on PDEs and have numerous active groups collaborating in the study of the geometric properties of their solutions.

Автор: Alessandra Lunardi
Название: Analytic Semigroups and Optimal Regularity in Parabolic Problems
ISBN: 303480556X ISBN-13(EAN): 9783034805568
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be applied to the study of parabolic problems. It presents known theorems from a novel perspective and teaches how to exploit basic techniques.

Автор: Rolando Magnanini; Shigeru Sakaguchi; Angelo Alvin
Название: Geometric Properties for Parabolic and Elliptic PDE`s
ISBN: 8847056128 ISBN-13(EAN): 9788847056121
Издательство: Springer
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Цена: 111790.00 T
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Описание: This inclusive study of projective geometry covers analytic and synthetic methods, takes in linear, quadratic, cubic and quartic figures in various dimensions, and deals at length with refinements of basic theories, including those of Pappus and Desargues.

Автор: Prof. Dr. Pavol Quittner; Prof. Dr. Philippe Soupl
Название: Superlinear Parabolic Problems
ISBN: 3030182207 ISBN-13(EAN): 9783030182205
Издательство: Springer
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Цена: 69870.00 T
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Описание: This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology.The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented.The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics.The first edition of this book has become one of the standard references in the field. This second edition provides a revised text and contains a number of updates reflecting significant recent advances that have appeared in this growing field since the first edition.