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An Introduction to Semilinear Evolution Equations

An Introduction to Semilinear Evolution Equations

Hardcover

Series: Oxford Lecture Mathematics and Its Applications, Book 13

General Mathematics

ISBN10: 019850277X
ISBN13: 9780198502777
Publisher: Clarendon Press
Published: Jan 14 1999
Pages: 204
Weight: 1.02
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
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.

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General Mathematics