Global Attractors in Abstract Parabolic Problems
Global Attractors in Abstract Parabolic Problems
CAD$75.95
The study of dissipative equations is an area that has attracted substantial attention over many years. Much progress has been achieved using a combination of both finite dimensional and infinite dimensional techniques, and in this book the authors exploit these same ideas to investigate the asymptotic behaviour of dynamical systems corresponding to parabolic equations. In particular the theory of global attractors is presented in detail. Extensive auxiliary material and rich references make this self-contained book suitable as an introduction for graduate students, and experts from other areas, who wish to enter this field.
- Based on lectures given by the authors in Poland and USA
- Authors are authorities on this subject
- No other up-to-date treatment available
Reviews & endorsements
"The general tools that the book presents, oriented to obtaining the existence of global attractors, the compilation of results on semilinear equations, the large variety and number of concrete examples and the collection of references, make the book a good reference for introducing the reader in to the vast literature on dissipative systems." Mathematical Reviews
Product details
September 2000Paperback
9780521794244
248 pages
228 × 153 × 17 mm
0.36kg
Available
Table of Contents
- Preface
- 1. Preliminary concepts
- 2. The abstract Cauchy problem
- 3. Semigroups of global solutions
- 4. Construction of the global attractor
- 5. Application of abstract results to parabolic equations
- 6. Examples of global attractors in parabolic problems
- 7. Backward uniqueness and regularity of solutions
- 8. Extensions
- 9. Appendix
- Bibliography
- Index.
