An Introduction to Semilinear Evolution Equations

Hardcover | July 1, 1998

byThierry Cazenave, Alain HarauxTranslated byYvan Martel

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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 differentialequations, 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.

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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 differentialequations, with special emphasis on global properti...

Thierry Cazenave and Alain Haraux are both at CNRS and University of Paris VI. Yvan Martel is at University of Cergy Pontoise.

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Format:HardcoverPublished:July 1, 1998Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:019850277X

ISBN - 13:9780198502777

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Table of Contents

ContentsIntroduction1. Preliminary results2. m-dissipative operators3. The Hille-Yosida-Phillips Theorem and applications4. Nonhomogeneous equations and abstract semilinear problems5. The heat equation6. The Klein-Gordon equation7. The Schrodinger equation8. Bounds on global solutions9. The invariance principle and some applications10. Stability of stationary solutions11. CommentsBibliographyNotationIndex

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'... highly recommended as a very claerly written, excellent textbook' Zentralblatt Math