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  3. Global Attractors in Abstract Parabolic Problems
  • Cited by 140
Publisher:
Cambridge University Press
Online publication date:
November 2009
Print publication year:
2000
Online ISBN:
9780511526404
DOI:
https://doi.org/10.1017/CBO9780511526404
Subjects:
Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Real and Complex Analysis
Series:
London Mathematical Society Lecture Note Series (278)
Information

Book description

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.

Reviews

"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

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