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Elements of Nonlinear Analysis

Springer Basel,
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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.


Titel: Elements of Nonlinear Analysis
Autoren/Herausgeber: Michel Chipot
Aus der Reihe: Birkhäuser Advanced Texts /Basler Lehrbücher
Ausgabe: 2000

ISBN/EAN: 9783034895637

Seitenzahl: 256
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 415 g
Sprache: Englisch

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