Blow-Up in Nonlinear Sobolev Type Equations, Al`shin Alexander B., Korpusov Maxim O., Sveshnikov Alexey G.

Автор: Brezis, H.
Название: Functional analysis, Sobolev spaces and partial differential equations
ISBN: 0387709134 ISBN-13(EAN): 9780387709130
Издательство: Springer
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Цена: 60510.00 T
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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: 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: Maz`ya Vladimir
Название: Sobolev Spaces: With Applications to Elliptic Partial Differential Equations
ISBN: 3662517299 ISBN-13(EAN): 9783662517291
Издательство: Springer
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Цена: 158380.00 T
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Описание: Now enhanced by numerous recent results, this expanded and revised second edition covers the basics on Sobolev spaces and their role in modern analysis. Five new chapters and the augmented list of references create a broader contemporary view of the field.

Автор: David Hoff
Название: Linear and Quasilinear Parabolic Systems: Sobolev Space Theory
ISBN: 1470461617 ISBN-13(EAN): 9781470461614
Издательство: Mare Nostrum (Eurospan)
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Цена: 117040.00 T
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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
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Цена: 41880.00 T
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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.

Название: Sobolev spaces in mathematics
ISBN: 0387856498 ISBN-13(EAN): 9780387856490
Издательство: Springer
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Цена: 176970.00 T
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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: Gennadii V. Demidenko; Vladimir L. Vaskevich
Название: Selected Works of S.L. Sobolev
ISBN: 1441941630 ISBN-13(EAN): 9781441941633
Издательство: Springer
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Цена: 172350.00 T
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Описание: The topics covered in this volume include Sobolev`s fundamental works on equations of mathematical physics, computational mathematics, and cubature formulas. Some of the articles are generally unknown to mathematicians because they were published in journals that are difficult to access.

Автор: Vladimir Maz`ya; Tatyana O. Shaposhnikova
Название: Theory of Sobolev Multipliers
ISBN: 364208902X ISBN-13(EAN): 9783642089022
Издательство: Springer
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Цена: 153720.00 T
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Описание: The first part of this book offers a comprehensive overview of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The second part of the book explores several applications of this theory.

Автор: Vladimir Maz`ya
Название: Sobolev Spaces in Mathematics II
ISBN: 1441927581 ISBN-13(EAN): 9781441927583
Издательство: Springer
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Цена: 176970.00 T
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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.

Название: Sobolev spaces in mathematics
ISBN: 038785651X ISBN-13(EAN): 9780387856513
Издательство: Springer
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Цена: 176970.00 T
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Описание: This volume, marking the centenary of S.L. Sobolev`s birth, presents the latest the results on some important problems of mathematical physics. The book contains two short biographical articles and unique archive photos of S. Sobolev.

Автор: Elena Shchepakina; Vladimir Sobolev; Michael P. Mo
Название: Singular Perturbations
ISBN: 3319095692 ISBN-13(EAN): 9783319095691
Издательство: Springer
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Цена: 41920.00 T
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Описание: These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques.

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
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Цена: 88500.00 T
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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.