An introduction to semilinear evolution equations
Author(s)
Bibliographic Information
An introduction to semilinear evolution equations
(Oxford lecture series in mathematics and its applications, v. 13)(Oxford science publications)
Clarendon, 1998
Rev. ed
- Other Title
-
Introduction aux problèmes d'évolution semi-linéaires
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Note
Rev. ed. of: Introduction aux problèmes d'évolution semi-linéaires. [Paris] : Ellipses, c1990
Includes bibliographical references (p. [169]-184) and index
Description and Table of Contents
Description
This book presents an upper level text on semilinear evolutionary partial differential equations aimed at the graduate and postgraduate level. Cazenave and Haraux present in a self-contained way, the typical basic properties of solutions to semi-linear evolutionary partial differential equations, with special emphasis on global properties. The main objective of this book is to provide a didactic approach to the subject , and the main readership will be graduate
students in mathematical analysis, as well as professional applied mathematicians.
Table of Contents
- Contents
- Introduction
- 1. Preliminary results
- 2. m-dissipative operators
- 3. The Hille-Yosida-Phillips Theorem and applications
- 4. Nonhomogeneous equations and abstract semilinear problems
- 5. The heat equation
- 6. The Klein-Gordon equation
- 7. The Schrodinger equation
- 8. Bounds on global solutions
- 9. The invariance principle and some applications
- 10. Stability of stationary solutions
- 11. Comments
- Bibliography
- Notation
- Index
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