An introduction to semilinear evolution equations
著者
書誌事項
An introduction to semilinear evolution equations
（Oxford lecture series in mathematics and its applications, v. 13）（Oxford science publications）
Clarendon, 1998
Rev. ed
- タイトル別名
-
Introduction aux problèmes d'évolution semi-linéaires
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注記
Rev. ed. of: Introduction aux problèmes d'évolution semi-linéaires. [Paris] : Ellipses, c1990
Includes bibliographical references (p. [169]-184) and index
内容説明・目次
内容説明
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.
目次
- 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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