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Author : Frank Duzaar
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (54 download)
Download or read book Partial Regularity for Nonlinear Elliptic Systems written by Frank Duzaar and published by . This book was released on 1999 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alain Bensoussan
Publisher : Springer Science & Business Media
ISBN 13 : 3662129051
Total Pages : 450 pages
Book Rating : 4.6/5 (621 download)
Download or read book Regularity Results for Nonlinear Elliptic Systems and Applications written by Alain Bensoussan and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Christoph Hamburger
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (755 download)
Download or read book An elementary partial regularity proof for solutions of nonlinear elliptic systems written by Christoph Hamburger and published by . This book was released on 1994 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mariano Giaquinta
Publisher : Springer Science & Business Media
ISBN 13 : 8876424431
Total Pages : 373 pages
Book Rating : 4.8/5 (764 download)
Download or read book An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2013-07-30 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Lisa Beck
Publisher : Springer
ISBN 13 : 3319274856
Total Pages : 214 pages
Book Rating : 4.3/5 (192 download)
Download or read book Elliptic Regularity Theory written by Lisa Beck and published by Springer. This book was released on 2016-04-08 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Charles B. Morrey
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)
Download or read book Partial Regularity Results for Non-Linear written by Charles B. Morrey and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alain Bensoussan
Publisher :
ISBN 13 : 9783662129067
Total Pages : 456 pages
Book Rating : 4.1/5 (29 download)
Download or read book Regularity Results for Nonlinear Elliptic Systems and Applications written by Alain Bensoussan and published by . This book was released on 2014-01-15 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jindřich Nečas
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.3/5 (21 download)
Download or read book On the Regularity of Weak Solutions to Nonlinear Elliptic Systems of Partial Differential Equations written by Jindřich Nečas and published by . This book was released on 1979 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mariano Giaquinta
Publisher : Princeton University Press
ISBN 13 : 9780691083315
Total Pages : 312 pages
Book Rating : 4.0/5 (833 download)
Download or read book Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems written by Mariano Giaquinta and published by Princeton University Press. This book was released on 1983-11-21 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105, will be forthcoming.
Author : Friedmar Schulz
Publisher : Springer
ISBN 13 : 3540466789
Total Pages : 137 pages
Book Rating : 4.5/5 (44 download)
Download or read book Regularity Theory for Quasilinear Elliptic Systems and Monge - Ampere Equations in Two Dimensions written by Friedmar Schulz and published by Springer. This book was released on 2006-12-08 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes have been written as an introduction to the characteristic theory for two-dimensional Monge-Ampère 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.
Author :
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (3 download)
Download or read book Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935 written by and published by . This book was released on 1974 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ya-Zhe Chen
Publisher : American Mathematical Soc.
ISBN 13 : 0821819240
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)
Download or read book Second Order Elliptic Equations and Elliptic Systems written by Ya-Zhe Chen and published by American Mathematical Soc.. This book was released on 1998 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are two parts to the book. In the first part, a complete introduction of various kinds of a priori estimate methods for the Dirichlet problem of second order elliptic partial differential equations is presented. In the second part, the existence and regularity theories of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced. The book features appropriate materials and is an excellent textbook for graduate students. The volume is also useful as a reference source for undergraduate mathematics majors, graduate students, professors, and scientists.
Author : Mariano Giaquinta
Publisher : Birkhauser
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.3/5 (91 download)
Download or read book Introduction to Regularity Theory for Nonlinear Elliptic Systems written by Mariano Giaquinta and published by Birkhauser. This book was released on 1993 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexandre N. Carvalho
Publisher : Birkhäuser
ISBN 13 : 3319199021
Total Pages : 434 pages
Book Rating : 4.3/5 (191 download)
Download or read book Contributions to Nonlinear Elliptic Equations and Systems written by Alexandre N. Carvalho and published by Birkhäuser. This book was released on 2015-11-14 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of contributions pays tribute to the life and work of Djairo Guedes de Figueiredo on the occasion of his 80th birthday. The articles it contains were born out of the ICMC Summer Meeting on Differential Equations – 2014 Chapter, also dedicated to de Figueiredo and held at the Universidade de São Paulo at São Carlos, Brazil from February 3-7, 2014. The contributing authors represent a group of international experts in the field and discuss recent trends and new directions in nonlinear elliptic partial differential equations and systems. Djairo Guedes de Figueiredo has had a very active scientific career, publishing 29 monographs and over one hundred research articles. His influence on Brazilian mathematics has made him one of the pillars of the subject in that country. He had a major impact on the development of analysis, especially in its application to nonlinear elliptic partial differential equations and systems throughout the entire world. The articles collected here pay tribute to him and his legacy and are intended for graduate students and researchers in mathematics and related areas who are interested in nonlinear elliptic partial differential equations and systems.
Author : E. Giarrusso
Publisher :
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4.:/5 (897 download)
Download or read book On a Method of K. Uhlenbeck for Proving Partial Regularity of Solutions of Nonlinear Elliptic Systems written by E. Giarrusso and published by . This book was released on 1984 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jindrich Něcas
Publisher :
ISBN 13 :
Total Pages : 163 pages
Book Rating : 4.:/5 (115 download)
Download or read book On the Regularity of Weak Solutions to Nonlinear Elliptic Systems of Partial Differential Equations written by Jindrich Něcas and published by . This book was released on 1986 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luigi Ambrosio
Publisher : Springer
ISBN 13 : 8876426515
Total Pages : 234 pages
Book Rating : 4.8/5 (764 download)
Download or read book Lectures on Elliptic Partial Differential Equations written by Luigi Ambrosio and published by Springer. This book was released on 2019-01-10 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations, including also more recent developments on partial regularity for systems and the theory of viscosity solutions.
