Semigroups of Linear Operators and Applications to Partial Differential Equations

  • A. Pazy

Part of the Applied Mathematical Sciences book series (AMS, volume 44)

Table of contents

  1. Front Matter
    Pages i-x
  2. A. Pazy
    Pages 1-41
  3. A. Pazy
    Pages 76-99
  4. A. Pazy
    Pages 100-125
  5. A. Pazy
    Pages 126-182
  6. A. Pazy
    Pages 183-205
  7. Back Matter
    Pages 252-281

About this book

Introduction

From the reviews: "Since E. Hille and K. Yoshida established the characterization of generators of C0 semigroups in the 1940s, semigroups of linear operators and its neighboring areas have developed into a beautiful abstract theory. Moreover, the fact that mathematically this abstract theory has many direct and important applications in partial differential equations enhances its importance as a necessary discipline in both functional analysis and differential equations. In my opinion Pazy has done an outstanding job in presenting both the abstract theory and basic applications in a clear and interesting manner. The choice and order of the material, the clarity of the proofs, and the overall presentation make this an excellent place for both researchers and students to learn about C0 semigroups." #Bulletin Applied Mathematical Sciences 4/85#1 "In spite of the other monographs on the subject, the reviewer can recommend that of Pazy as being particularly written, with a bias noticeably different from that of the other volumes. Pazy's decision to give a connected account of the applications to partial differential equations in the last two chapters was a particularly happy one, since it enables one to see what the theory can achieve much better than would the insertion of occasional examples. The chapters achieve a very nice balance between being so easy as to appear disappointing, and so sophisticated that they are incomprehensible except to the expert." #Bulletin of the London Mathematical Society#2

Keywords

Anfangswertproblem Applications Equations Operatorhalbgruppe Operators Partielle Differentialgleichung Semigroups partial differential equation wave equation

Authors and affiliations

  • A. Pazy
    • 1
  1. 1.Planning and Budgeting CommitteeCouncil for Higher EducationJerusalemIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-5561-1
  • Copyright Information Springer-Verlag New York 1983
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-5563-5
  • Online ISBN 978-1-4612-5561-1
  • Series Print ISSN 0066-5452
  • About this book
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