
An Introduction to Semilinear Evolution Equations
Translation by Yvan Martel
Oxford University Press
Published on 29. October 1998
Book
Hardback
204 pages
978-0-19-850277-7 (ISBN)
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.
Reviews / Votes
... an excellent introduction to the modern theory of linear and semilinear evolution equations. It is highly suitable as lecture notes for an advanced course on the subject. * ZAMM (Journal of Applied Mathematics and Mechanics) * ... highly recommended as a very clearly written, excellent textbook. * Zentralblatt Math *More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
Professional and scholarly
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 16 mm
Weight
476 gr
ISBN-13
978-0-19-850277-7 (9780198502777)
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Schweitzer Classification
Persons
Author
, both at the CNRS and University of Paris VI, France
Translation
, University of Cergy Pontoise, France
Content
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