Regularity Results for Nonlinear Elliptic Systems and Applications: 151 (Applied Mathematical Sciences, 151) - Hardcover

Book 27 of 94: Applied Mathematical Sciences

Bensoussan, Alain; Frehse, Jens

 
9783540677567: Regularity Results for Nonlinear Elliptic Systems and Applications: 151 (Applied Mathematical Sciences, 151)
Hardcover
ISBN 10: 3540677569 ISBN 13: 9783540677567
Publisher: Springer, 2002

Synopsis

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.

"synopsis" may belong to another edition of this title.

Review

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)

Synopsis

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2002
Language
English
ISBN 10 
3540677569
ISBN 13 
9783540677567
Binding
Hardcover
Number of pages
455

Other Popular Editions of the Same Title

9783642087264: Regularity Results for Nonlinear Elliptic Systems and Applications: 151 (Applied Mathematical Sciences, 151)

Featured Edition

ISBN 10:  3642087264 ISBN 13:  9783642087264
Publisher: Springer, 2010
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