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  3. Global Attractors in Abstract Parabolic Problems
  • Cited by 140
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2009
      August 2000
      ISBN:
      9780511526404
      9780521794244
      DOI:
      https://doi.org/10.1017/CBO9780511526404
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.36kg, 248 Pages
      • 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)
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    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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