Buch, Englisch, Band 278, 250 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 408 g
Buch, Englisch, Band 278, 250 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 408 g
Reihe: London Mathematical Society Lecture Note Series
ISBN: 978-0-521-79424-4
Verlag: Cambridge University Press
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.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
Weitere Infos & Material
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.
