Semigroups of Linear Operators and Applications to Partial Differential Equations by Amnon Pazy

Semigroups of Linear Operators and Applications to Partial Differential Equations by Amnon Pazy

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Summary

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.

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Semigroups of Linear Operators and Applications to Partial Differential Equations by Amnon Pazy

Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations.
From the reviews: "Since EHille 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
SKU Unavailable
ISBN 13 9781461255635
ISBN 10 1461255635
Title Semigroups of Linear Operators and Applications to Partial Differential Equations
Author Amnon Pazy
Series Applied Mathematical Sciences
Condition Unavailable
Binding Type Paperback
Publisher Springer-Verlag New York Inc.
Year published 2011-10-12
Number of pages 282
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.