Overview
The book collects many techniques that are helpul in obtaining regularity results for solutions of nonlinear systems of partial differential equations. They are then applied in various cases to provide useful examples and relevant results, particularly in fields like fluid mechanics, solid mechanics, semiconductor theory, or game theory. In general, these techniques are scattered in the journal literature and developed in the strict context of a given model. In the book, they are presented independently of specific models, so that the main ideas are explained, while remaining applicable to various situations. Such a presentation will facilitate application and implementation by researchers, as well as teaching to students.
Full Product Details
Author: Alain Bensoussan ,
Jens Frehse
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: Softcover reprint of hardcover 1st ed. 2002
Volume: 151
Dimensions:
Width: 15.50cm
, Height: 2.30cm
, Length: 23.50cm
Weight: 0.694kg
ISBN: 9783642087264
ISBN 10: 3642087264
Pages: 443
Publication Date: 18 December 2010
Audience:
Professional and scholarly
,
Professional and scholarly
,
Professional & Vocational
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: In Print
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Reviews
From the reviews: The book under review presents several topics of the regularity theory for nonlinear elliptic equations and systems which have been developed in recent years. ... It may serve for teaching to higher graduate students and for researchers in the field of nonlinear PDE's. (Joachim Naumann, Zentralblatt MATH, Vol. 1055, 2005) It is a pleasure to review this new book by Bensoussan and Frehse; indeed this work covers remarkable, finely selected, updated material ... . this book is a very interesting and useful source of material for those interested in the latest developments of regularity theory of solutions of nonlinear elliptic systems. ... the book is an essential companion to the standard monographs already available and it is bound to become a standard and inevitable item in any list of references on the subject. (Giuseppe Mingione, Mathematical Reviews, 2004 a)
From the reviews: The book under review presents several topics of the regularity theory for nonlinear elliptic equations and systems which have been developed in recent years. ! It may serve for teaching to higher graduate students and for researchers in the field of nonlinear PDE's. (Joachim Naumann, Zentralblatt MATH, Vol. 1055, 2005) It is a pleasure to review this new book by Bensoussan and Frehse; indeed this work covers remarkable, finely selected, updated material ! . this book is a very interesting and useful source of material for those interested in the latest developments of regularity theory of solutions of nonlinear elliptic systems. ! the book is an essential companion to the standard monographs already available and it is bound to become a standard and inevitable item in any list of references on the subject. (Giuseppe Mingione, Mathematical Reviews, 2004 a)
From the reviews: ""The book under review presents several topics of the regularity theory for nonlinear elliptic equations and systems which have been developed in recent years. … It may serve for teaching to higher graduate students and for researchers in the field of nonlinear PDE’s."" (Joachim Naumann, Zentralblatt MATH, Vol. 1055, 2005) ""It is a pleasure to review this new book by Bensoussan and Frehse; indeed this work covers remarkable, finely selected, updated material … . this book is a very interesting and useful source of material for those interested in the latest developments of regularity theory of solutions of nonlinear elliptic systems. … the book is an essential companion to the standard monographs already available and it is bound to become a standard and inevitable item in any list of references on the subject."" (Giuseppe Mingione, Mathematical Reviews, 2004 a)
