Elements of Nonlinear Analysis - Couverture souple

Chipot, Michel

Couverture souple

ISBN 10 : 3034895631 ISBN 13 : 9783034895637

Editeur : Birkhauser Verlag AG, 2012

Synopsis

The goal of this book is to present some modern aspects of nonlinear analysis. Some of the material introduced is classical, some more exotic. We have tried to emphasize simple cases and ideas more than complicated refinements. Also, as far as possible, we present proofs that are not classical or not available in the usual literature. Of course, only a small part of nonlinear analysis is covered. Our hope is that the reader - with the help of these notes - can rapidly access the many different aspects of the field. We start by introducing two physical issues: elasticity and diffusion. The pre- sentation here is original and self contained, and helps to motivate all the rest of the book. Then we turn to some theoretical material in analysis that will be needed throughout (Chapter 2). The next six chapters are devoted to various aspects of elliptic problems. Starting with the basics of the linear theory, we introduce a first type of nonlinear problem that has today invaded the whole mathematical world: variational inequalities. In particular, in Chapter 6, we introduce a simple theory of regularity for nonlocal variational inequalities. We also attack the question of the existence, uniqueness and approximation of solutions of quasilinear and mono- tone problems (see Chapters 5, 7, 8). The material needed to read these parts is contained in Chapter 2. The arguments are explained using the simplest possible examples.

Détails de l'édition

• Éditeur: Birkhauser Verlag AG
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 3034895631
• ISBN 13: 9783034895637
• Reliure: Broché
• Nombre de pages: 256
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible