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  • © 1983

Semigroups of Linear Operators and Applications to Partial Differential Equations

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

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  • ISBN: 978-1-4612-5561-1
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Softcover Book USD 219.99
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Table of contents (8 chapters)

  1. Front Matter

    Pages i-x
  2. Generation and Representation

    • A. Pazy
    Pages 1-41
  3. Perturbations and Approximations

    • A. Pazy
    Pages 76-99
  4. The Abstract Cauchy Problem

    • A. Pazy
    Pages 100-125
  5. Evolution Equations

    • A. Pazy
    Pages 126-182
  6. Some Nonlinear Evolution Equations

    • A. Pazy
    Pages 183-205
  7. Back Matter

    Pages 252-281

About this book

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

Reviews

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

Authors and Affiliations

  • Planning and Budgeting Committee, Council for Higher Education, Jerusalem, Israel

    A. Pazy

Bibliographic Information

  • Book Title: Semigroups of Linear Operators and Applications to Partial Differential Equations

  • Authors: A. Pazy

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4612-5561-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1983

  • Hardcover ISBN: 978-0-387-90845-8

  • Softcover ISBN: 978-1-4612-5563-5

  • eBook ISBN: 978-1-4612-5561-1

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: X, 282

  • Topics: Analysis, Group Theory and Generalizations

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • ISBN: 978-1-4612-5561-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 219.99
Price excludes VAT (USA)
Hardcover Book USD 219.99
Price excludes VAT (USA)