Regularity Results for Nonlinear Elliptic Systems and Applications

  • Alain Bensoussan
  • Jens Frehse

Part of the Applied Mathematical Sciences book series (AMS, volume 151)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Alain Bensoussan, Jens Frehse
    Pages 1-61
  3. Alain Bensoussan, Jens Frehse
    Pages 63-111
  4. Alain Bensoussan, Jens Frehse
    Pages 113-152
  5. Alain Bensoussan, Jens Frehse
    Pages 153-195
  6. Alain Bensoussan, Jens Frehse
    Pages 197-228
  7. Alain Bensoussan, Jens Frehse
    Pages 229-264
  8. Alain Bensoussan, Jens Frehse
    Pages 265-297
  9. Alain Bensoussan, Jens Frehse
    Pages 299-374
  10. Alain Bensoussan, Jens Frehse
    Pages 375-420
  11. Alain Bensoussan, Jens Frehse
    Pages 421-433
  12. Back Matter
    Pages 435-443

About this book

Introduction

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.

Keywords

Control Theory Nonlinear Systems Partial Differential Equations Regularity Analysis Variational Methods fluid mechanics game theory linear optimization mechanics model partial differential equation plasticity

Authors and affiliations

  • Alain Bensoussan
    • 1
  • Jens Frehse
    • 2
  1. 1.CNESParisFrance
  2. 2.Institut für Angewandte MathematikUniversität BonnBonnGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-12905-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08726-4
  • Online ISBN 978-3-662-12905-0
  • Series Print ISSN 0066-5452
  • About this book