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Global Attractors in Abstract Parabolic Problems

$61.00 ( ) USD

Part of London Mathematical Society Lecture Note Series

  • Date Published: February 2011
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511893681

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About the Authors
  • 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.

    • Based on lectures given by the authors in Poland and USA
    • Authors are authorities on this subject
    • No other up-to-date treatment available
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    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

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    Product details

    • Date Published: February 2011
    • format: Adobe eBook Reader
    • isbn: 9780511893681
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • 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.

  • Authors

    Jan W. Cholewa, Silesian University, Poland

    Tomasz Dlotko, Silesian University, Poland

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