Global Attractors in Abstract Parabolic Problems

Klappentext The study of dissipative equations has attracted substantial attention over many years. Much progress has been achieved using a combination of both finite dimensional and infinite dimensional techniques. In this book the authors exploit these same ideas to investigate the asymptotic behavior of dynamical systems corresponding to parabolic equations. In particular they present the theory of global attractors in detail. Extensive auxiliary material and rich references make this self-contained book a suitable introduction for graduate students. Zusammenfassung This book investigates the asymptotic behaviour of dynamical systems corresponding to parabolic equations. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: J. Dlotko Cholewa, Jan W. Cholewa, Jan W. (Politechnika Slaska Cholewa, Jan W. Dlotko Cholewa, Tomasz Dlotko
• Con la collaborazione di: J. W. S. Cassels (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 31.08.2000
• EAN: 9780521794244
• ISBN: 978-0-521-79424-4
• Pagine: 248
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi