Author : Frank Duzaar
Publisher :
Page : 24 pages
File Size : 13,99 MB
Release : 1999
Category :
ISBN :
[PDF] Partial Regularity For Nonlinear Elliptic Systems eBook
Partial Regularity For Nonlinear Elliptic Systems Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Partial Regularity For Nonlinear Elliptic Systems book. This book definitely worth reading, it is an incredibly well-written.
Regularity Results for Nonlinear Elliptic Systems and Applications
Author : Alain Bensoussan
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 41,61 MB
Release : 2013-04-17
Category : Mathematics
ISBN : 3662129051
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.
An elementary partial regularity proof for solutions of nonlinear elliptic systems
Author : Christoph Hamburger
Publisher :
Page : 30 pages
File Size : 14,45 MB
Release : 1994
Category :
ISBN :
Elliptic Regularity Theory
Author : Lisa Beck
Publisher : Springer
Page : 214 pages
File Size : 21,85 MB
Release : 2016-04-08
Category : Mathematics
ISBN : 3319274856
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.
Partial Regularity Results for Non-Linear
Author : Charles B. Morrey
Publisher :
Page : pages
File Size : 41,75 MB
Release : 1967
Category :
ISBN :
An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
Author : Mariano Giaquinta
Publisher : Springer Science & Business Media
Page : 373 pages
File Size : 12,79 MB
Release : 2013-07-30
Category : Mathematics
ISBN : 8876424431
This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress of Mathematicians in 1900 in Paris: 19th problem: Are the solutions to regular problems in the Calculus of Variations always necessarily analytic? 20th problem: does any variational problem have a solution, provided that certain assumptions regarding the given boundary conditions are satisfied, and provided that the notion of a solution is suitably extended? During the last century these two problems have generated a great deal of work, usually referred to as regularity theory, which makes this topic quite relevant in many fields and still very active for research. However, the purpose of this volume, addressed mainly to students, is much more limited. We aim to illustrate only some of the basic ideas and techniques introduced in this context, confining ourselves to important but simple situations and refraining from completeness. In fact some relevant topics are omitted. Topics include: harmonic functions, direct methods, Hilbert space methods and Sobolev spaces, energy estimates, Schauder and L^p-theory both with and without potential theory, including the Calderon-Zygmund theorem, Harnack's and De Giorgi-Moser-Nash theorems in the scalar case and partial regularity theorems in the vector valued case; energy minimizing harmonic maps and minimal graphs in codimension 1 and greater than 1. In this second deeply revised edition we also included the regularity of 2-dimensional weakly harmonic maps, the partial regularity of stationary harmonic maps, and their connections with the case p=1 of the L^p theory, including the celebrated results of Wente and of Coifman-Lions-Meyer-Semmes.
Regularity Results for Nonlinear Elliptic Systems and Applications
Author : Alain Bensoussan
Publisher :
Page : 456 pages
File Size : 50,82 MB
Release : 2014-01-15
Category :
ISBN : 9783662129067
On the Regularity of Weak Solutions to Nonlinear Elliptic Systems of Partial Differential Equations
Author : Jindřich Nečas
Publisher :
Page : 76 pages
File Size : 44,87 MB
Release : 1979
Category : Differential equations, Elliptic
ISBN :
Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems
Author : Mariano Giaquinta
Publisher : Princeton University Press
Page : 312 pages
File Size : 13,17 MB
Release : 1983-11-21
Category : Mathematics
ISBN : 9780691083315
The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105, will be forthcoming.
Introduction to Regularity Theory for Nonlinear Elliptic Systems
Author : Mariano Giaquinta
Publisher : Birkhauser
Page : 152 pages
File Size : 28,24 MB
Release : 1993
Category : Mathematics
ISBN :