Regularity Results for Nonlinear Elliptic Systems and Applications

✍ Scribed by Alain Bensoussan, Jens Frehse (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2002
• Tongue: English
• Leaves: 450
• Series: Applied Mathematical Sciences 151
• Edition: 1
• Category: Library

✦ 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.

✦ Table of Contents

Front Matter....Pages i-xii
General Technical Results....Pages 1-61
General Regularity Results....Pages 63-111
Nonlinear Elliptic Systems Arising from Stochastic Games....Pages 113-152
Nonlinear Elliptic Systems Arising from Ergodic Control....Pages 153-195
Harmonic Mappings....Pages 197-228
Nonlinear Elliptic Systems Arising from the Theory of Semiconductors....Pages 229-264
Stationary Navier—Stokes Equations....Pages 265-297
Strongly Coupled Elliptic Systems....Pages 299-374
Dual Approach to Nonlinear Elliptic Systems....Pages 375-420
Nonlinear Elliptic Systems Arising from plasticity Theory....Pages 421-433
Back Matter....Pages 435-443

✦ Subjects

Partial Differential Equations