Regularity Results For Nonlinear Elliptic Systems And Applications
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Regularity Results For Nonlinear Elliptic Systems And Applications
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Author : Alain Bensoussan
language : en
Publisher:
Release Date : 2014-01-15
Regularity Results For Nonlinear Elliptic Systems And Applications written by Alain Bensoussan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Regularity Results For Nonlinear Elliptic Systems And Applications
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Author : Alain Bensoussan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Regularity Results For Nonlinear Elliptic Systems And Applications written by Alain Bensoussan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential equations. These are applied in various cases to provide useful examples and relevant results, particularly in such fields as fluid mechanics, solid mechanics, semiconductor theory and game theory.
Introduction To Regularity Theory For Nonlinear Elliptic Systems
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Author : Mariano Giaquinta
language : en
Publisher: Birkhauser
Release Date : 1993
Introduction To Regularity Theory For Nonlinear Elliptic Systems written by Mariano Giaquinta and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
Introduction To The Regularity Theory For Nonlinear Elliptic Systems
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Author : Mariano Giaquinta
language : en
Publisher:
Release Date : 1984
Introduction To The Regularity Theory For Nonlinear Elliptic Systems written by Mariano Giaquinta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Optimization Of Elliptic Systems
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Author : Pekka Neittaanmaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-04
Optimization Of Elliptic Systems written by Pekka Neittaanmaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-04 with Mathematics categories.
The present monograph is intended to provide a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, which has many important applications in science and technology. has experienced an impressive development during the past two decades. There are already many good textbooks dealing with various aspects of optimal design problems. In this regard, we refer to the works of Pironneau [1984], Haslinger and Neittaanmaki [1988], [1996], Sokolowski and Zolksio [1992], Litvinov [2000], Allaire [2001], Mohammadi and Pironneau [2001], Delfour and Zolksio [2001], and Makinen and Haslinger [2003]. Already Lions [I9681 devoted a major part of his classical monograph on the optimal control of partial differential equations to the optimization of elliptic systems. Let us also mention that even the very first known problem of the calculus of variations, the brachistochrone studied by Bernoulli back in 1696. is in fact a shape optimization problem. The natural richness of this mathematical research subject, as well as the extremely large field of possible applications, has created the unusual situation that although many important results and methods have already been est- lished, there are still pressing unsolved questions. In this monograph, we aim to address some of these open problems; as a consequence, there is only a minor overlap with the textbooks already existing in the field.
Nonlinear Functional Analysis And Its Applications Part 2
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Author : Felix E. Browder
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
Nonlinear Functional Analysis And Its Applications Part 2 written by Felix E. Browder and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Strongly Coupled Parabolic And Elliptic Systems
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Author : Dung Le
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-11-05
Strongly Coupled Parabolic And Elliptic Systems written by Dung Le and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Mathematics categories.
Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo–Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(μ)–H1(μ)| Some algebraic inequalities Partial regularity
Elliptic Regularity Theory
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Author : Lisa Beck
language : en
Publisher: Springer
Release Date : 2016-04-08
Elliptic Regularity Theory written by Lisa Beck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-08 with Mathematics categories.
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. In the vectorial case, weak solutions may have discontinuities and so are expected, in general, to be regular only outside of a set of measure zero. Several methods are presented concerning the proof of such partial regularity results, and optimal regularity is discussed. Finally, a short overview is given on the current state of the art concerning the size of the singular set on which discontinuities may occur. The notes are intended for graduate and postgraduate students with a solid background in functional analysis and some familiarity with partial differential equations; they will also be of interest to researchers working on related topics.
Numerical Methods For Nonlinear Elliptic Differential Equations
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Author : Klaus Böhmer
language : en
Publisher: Oxford University Press
Release Date : 2010-10-07
Numerical Methods For Nonlinear Elliptic Differential Equations written by Klaus Böhmer and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-07 with Computers categories.
Boehmer systmatically handles the different numerical methods for nonlinear elliptic problems.
Iutam Symposium On Theoretical Computational And Modelling Aspects Of Inelastic Media
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Author : B. Daya Reddy
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-24
Iutam Symposium On Theoretical Computational And Modelling Aspects Of Inelastic Media written by B. Daya Reddy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-24 with Technology & Engineering categories.
This work comprises papers based on some of the talks presented at the IUTAM Symposium of the same name, held in Cape Town, January 14-18, 2008. This volume treats cutting-edge issues in modelling, the behaviour of various classes of inelastic media, and associated algorithms for carrying out computational simulations. A key feature of the contributions are works directed at modelling behaviour at the meso and micro-scales, and at bridging the micro-macro scales.