Sobolev Spaces: With Applications to Elliptic Partial Differential Equations, Maz`ya Vladimir
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: Ahmad Shair Название: Textbook on Ordinary Differential Equations ISBN: 3319164074 ISBN-13(EAN): 9783319164076 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available.
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) Рейтинг: Цена: 107850.00 T Наличие на складе: Невозможна поставка. 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: Julii A. Dubinskii Название: Sobolev Spaces of Infinite Order and Differential Equations ISBN: 9027721475 ISBN-13(EAN): 9789027721471 Издательство: Springer Рейтинг: Цена: 71730.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: David Hoff Название: Linear and Quasilinear Parabolic Systems: Sobolev Space Theory ISBN: 1470461617 ISBN-13(EAN): 9781470461614 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 117040.00 T Наличие на складе: Невозможна поставка. Описание: This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinear systems are given, including local existence for large data, global existence near an attractor, the Leray and Hopf theorems for the Navier-Stokes equations and results concerning invariant regions. Supplementary material is provided, including a self-contained treatment of the calculus of Sobolev functions on the boundaries of Lipschitz domains and a thorough discussion of measurability considerations for elements of Bochner-Sobolev spaces. This book will be particularly useful both for researchers requiring accessible and broadly applicable formulations of standard results as well as for students preparing for research in applied analysis. Readers should be familiar with the basic facts of measure theory and functional analysis, including weak derivatives and Sobolev spaces. Prior work in partial differential equations is helpful but not required.
Автор: john neuberger Название: Sobolev Gradients and Differential Equations ISBN: 3642040403 ISBN-13(EAN): 9783642040405 Издательство: Springer Рейтинг: Цена: 41880.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm. This book shows how descent methods using such gradients allow treatment of problems in differential equations.
Автор: Mikhail S. Agranovich Название: Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains ISBN: 3319351834 ISBN-13(EAN): 9783319351834 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations.
Автор: Al`shin Alexander B., Korpusov Maxim O., Sveshnikov Alexey G. Название: Blow-Up in Nonlinear Sobolev Type Equations ISBN: 3110255278 ISBN-13(EAN): 9783110255270 Издательство: Walter de Gruyter Рейтинг: Цена: 495050.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations with nonlinear operator coefficients with respect to spatial variables. The main aim of the monograph is to obtain sufficient conditions for global (in time) solvability, to obtain sufficient conditions for blow-up of solutions at finite time, and to derive upper and lower estimates for the blow-up time.
The abstract results apply to a large variety of problems. Thus, the well-known Benjamin-Bona-Mahony-Burgers equation and Rosenau-Burgers equations with sources and many other physical problems are considered as examples. Moreover, the method proposed for studying blow-up phenomena for nonlinear Sobolev-type equations is applied to equations which play an important role in physics. For instance, several examples describe different electrical breakdown mechanisms in crystal semiconductors, as well as the breakdown in the presence of sources of free charges in a self-consistent electric field.
The monograph contains a vast list of references (440 items) and gives an overall view of the contemporary state-of-the-art of the mathematical modeling of various important problems arising in physics. Since the list of references contains many papers which have been published previously only in Russian research journals, it may also serve as a guide to the Russian literature.
Название: Sobolev spaces in mathematics ISBN: 0387856471 ISBN-13(EAN): 9780387856476 Издательство: Springer Рейтинг: Цена: 176970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Dedicated to the centenary of the outstanding mathematician of the 20th century, Sergey Sobolev, and, in a sense, to his celebrated work on a theorem of functional analysis, this title discusses such topics as: Sobolev-type inequalities on manifolds and metric measure spaces, and traces, inequalities with weights.
Название: Sobolev spaces in mathematics ISBN: 0387856498 ISBN-13(EAN): 9780387856490 Издательство: Springer Рейтинг: Цена: 176970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Sobolev spaces are the universal language of partial differential equations and mathematical analysis. This volume presents new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics.
Автор: Brezis, H. Название: Functional analysis, Sobolev spaces and partial differential equations ISBN: 0387709134 ISBN-13(EAN): 9780387709130 Издательство: Springer Рейтинг: Цена: 60510.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs).
Автор: Agranovich Mikhail Название: Sobolev Spaces, Their Generalizations and Elliptic Problems ISBN: 3319146475 ISBN-13(EAN): 9783319146478 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations.
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