Thierry Cazenave, Alain Haraux

An Introduction to Semilinear Evolution Equations

Übersetzer: Martel, Yvan

• Gebundenes Buch

Produktbeschreibung

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 Schroodinger 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 Schroodinger 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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Produktdetails

• Verlag: Hurst & Co.
• Rev edition
• Seitenzahl: 204
• Erscheinungstermin: 14. Januar 1999
• Englisch
• Abmessung: 243mm x 159mm x 17mm
• Gewicht: 442g
• ISBN-13: 9780198502777
• ISBN-10: 019850277X
• Artikelnr.: 22102761

Inhaltsangabe

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 Schrödinger equation
8: Bounds on global solutions
9: The invariance principle and some applications
10: Stability of stationary solutions
11: Comments
Bibliography
Notation
Index