An introduction to semilinear evolution equations

Bibliographic Information

An introduction to semilinear evolution equations

Thierry Cazenave and Alain Haraux ; translated by Yvan Martel

(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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