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Regularity Theory for Quasilinear Elliptic Systems and Monge - Ampere Equations in Two Dimensions, Friedmar Schulz


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Автор: Friedmar Schulz
Название:  Regularity Theory for Quasilinear Elliptic Systems and Monge - Ampere Equations in Two Dimensions
ISBN: 9783540531036
Издательство: Springer
Классификация: ISBN-10: 3540531033
Обложка/Формат: Paperback
Страницы: 130
Вес: 0.22 кг.
Дата издания: 24.10.1990
Серия: Lecture Notes in Mathematics
Язык: English
Размер: 234 x 156 x 8
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: These lecture notes have been written as an introduction to the characteristic theory for two-dimensional Monge-Amp re equations, a theory largely developed by H. Lewy and E. Heinz which has never been presented in book form. An exposition of the Heinz-Lewy theory requires auxiliary material which can be found in various monographs, but which is presented here, in part because the focus is different, and also because these notes have an introductory character. Self-contained introductions to the regularity theory of elliptic systems, the theory of pseudoanalytic functions and the theory of conformal mappings are included. These notes grew out of a seminar given at the University of Kentucky in the fall of 1988 and are intended for graduate students and researchers interested in this area.


Lecture Notes On Regularity Theory For The Navier-Stokes Equations

Автор: Seregin Gregory
Название: Lecture Notes On Regularity Theory For The Navier-Stokes Equations
ISBN: 9814623407 ISBN-13(EAN): 9789814623407
Издательство: World Scientific Publishing
Цена: 8554.00 р.
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Описание: The lecture notes in this book are based on the TCC (Taught Course Centre for graduates) course given by the author in Trinity Terms of 2009-2011 at the Mathematical Institute of Oxford University.

Regularity Problem for Quasilinear Elliptic and Parabolic Systems

Автор: Alexander Koshelev
Название: Regularity Problem for Quasilinear Elliptic and Parabolic Systems
ISBN: 3540602518 ISBN-13(EAN): 9783540602514
Издательство: Springer
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Цена: 6282.00 р.
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Описание: This text deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described.

Regularity Results for Nonlinear Elliptic Systems and Applications

Автор: Alain Bensoussan; Jens Frehse
Название: Regularity Results for Nonlinear Elliptic Systems and Applications
ISBN: 3642087264 ISBN-13(EAN): 9783642087264
Издательство: Springer
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Цена: 13275.00 р.
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Parabolic Quasilinear Equations Minimizing Linear Growth Functionals

Автор: Fuensanta Andreu-Vaillo; Vicent Caselles; Jos? M.
Название: Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
ISBN: 3764366192 ISBN-13(EAN): 9783764366193
Издательство: Springer
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Цена: 13969.00 р.
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Описание: Details the mathematical developments in total variation based image restauration. This book is devoted to PDE`s of elliptic and parabolic type associated to functionals having a linear growth in the gradient, with a special emphasis on the applications related to image restoration and nonlinear filters.

Moving Interfaces and Quasilinear Parabolic Evolution Equations

Автор: Pr?ss
Название: Moving Interfaces and Quasilinear Parabolic Evolution Equations
ISBN: 3319276972 ISBN-13(EAN): 9783319276977
Издательство: Springer
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Цена: 18167.00 р.
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Описание: In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows. The theory of maximal regularity, an essential element, is also fully developed. The authors present a modern approach based on powerful tools in classical analysis, functional analysis, and vector-valued harmonic analysis.The theory is applied to problems in two-phase fluid dynamics and phase transitions, one-phase generalized Newtonian fluids, nematic liquid crystal flows, Maxwell-Stefan diffusion, and a variety of geometric evolution equations. The book also includes a discussion of the underlying physical and thermodynamic principles governing the equations of fluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.

Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)

Автор: Nagel Alexander, Stein Elias M.
Название: Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
ISBN: 0691601097 ISBN-13(EAN): 9780691601090
Издательство: Wiley
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Цена: 4752.00 р.
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Описание: The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevan

Regularity Theory for Mean-Field Game Systems

Автор: Gomes
Название: Regularity Theory for Mean-Field Game Systems
ISBN: 3319389327 ISBN-13(EAN): 9783319389325
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Beginning with a concise introduction to the theory of mean-field games (MFGs), this book presents the key elements of the regularity theory for MFGs. It then introduces a series of techniques for well-posedness in the context of mean-field problems, including stationary and time-dependent MFGs, subquadratic and superquadratic MFG formulations, and distinct classes of mean-field couplings. It also explores stationary and time-dependent MFGs through a series of a-priori estimates for solutions of the Hamilton-Jacobi and Fokker-Planck equation. It shows sophisticated a-priori systems derived using a range of analytical techniques, and builds on previous results to explain classical solutions. The final chapter discusses the potential applications, models and natural extensions of MFGs. As MFGs connect common problems in pure mathematics, engineering, economics and data management, this book is a valuable resource for researchers and graduate students in these fields.

Regularity of Difference Equations on Banach Spaces

Автор: Ravi P. Agarwal; Claudio Cuevas; Carlos Lizama
Название: Regularity of Difference Equations on Banach Spaces
ISBN: 331935518X ISBN-13(EAN): 9783319355184
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This work introduces readers to the topic of maximal regularity for difference equations. This book is intended for graduate students and researchers in the area of difference equations, particularly those with advance knowledge of and interest in functional analysis.

Elliptic Regularity Theory

Автор: Lisa Beck
Название: Elliptic Regularity Theory
ISBN: 3319274848 ISBN-13(EAN): 9783319274843
Издательство: Springer
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Цена: 5589.00 р.
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Описание: These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations.

Parabolic Quasilinear Equations Minimizing Linear Growth Functionals

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: 6986.00 р.
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Описание:

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.


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