Attractors for Semigroups and Evolution Equations
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Attractors for Semigroups and Evolution Equations

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eBook - PDF

Attractors for Semigroups and Evolution Equations

Book details
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About This Book

In this volume, Olga A. Ladyzhenskaya expands on her highly successful 1991 Accademia Nazionale dei Lincei lectures. The lectures were devoted to questions of the behaviour of trajectories for semigroups of nonlinear bounded continuous operators in a locally non-compact metric space and for solutions of abstract evolution equations. The latter contain many initial boundary value problems for dissipative partial differential equations. This work, for which Ladyzhenskaya was awarded the Russian Academy of Sciences' Kovalevskaya Prize, reflects the high calibre of her lectures; it is essential reading for anyone interested in her approach to partial differential equations and dynamical systems. This edition, reissued for her centenary, includes a new technical introduction, written by Gregory A. Seregin, Varga K. Kalantarov and Sergey V. Zelik, surveying Ladyzhenskaya's works in the field and subsequent developments influenced by her results.

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Information

Publisher
Cambridge University Press
Year
2022
ISBN
9781009229791
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Contents
  7. Introduction
  8. Preface
  9. Part I Attractors for the semigroups of operators: an abstract framework
  10. Part II Semigroups generated by evolution equations
  11. References
  12. Index