Pub. Date:
Oxford University Press, USA
An Introduction to Semilinear Evolution Equations

An Introduction to Semilinear Evolution Equations


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This book presents in a self-contained form the typical basic properties of solutions to semilinear evolutionary partial differential equations, with special emphasis on global properties. It considers important examples, including the heat, Klein-Gordon, and Schroödinger equations, placing each in the analytical framework which allows the most striking statement of the key properties. With the exceptions of the treatment of the Schroödinger equation, the book employs the most standard methods, each developed in enough generality to cover other cases. This new edition includes a chapter on stability, which contains partial answers to recent questions about the global behavior of solutions. The self-contained treatment and emphasis on central concepts make this text useful to a wide range of applied mathematicians and theoretical researchers.

Product Details

ISBN-13: 9780198502777
Publisher: Oxford University Press, USA
Publication date: 10/29/1998
Series: Oxford Lecture Series in Mathematics and Its Applications Series , #13
Edition description: REV
Pages: 200
Product dimensions: 6.10(w) x 9.30(h) x 0.60(d)

About the Author

CNRS, and University of Paris VI

University of Cergy Pontoise

Table of Contents

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 Schrödinger equation
8. Bounds on global solutions
9. The invariance principle and some applications
10. Stability of stationary solutions

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