Lecture Notes in Mathematics

Nonlinear Evolution Operators and Semigroups

Applications to Partial Differential Equations

Authors: Pavel, Nicolae H.

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About this book

This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the semigroup approach. This theory is not available otherwise in the self-contained form provided by these Notes and moreover a considerable part of the results, proofs and methods are not to be found in other books. The exponential formula of Crandall and Liggett, some simple estimates due to Kobayashi and others, the characterization of compact semigroups due to Br├ęzis, the proof of a fundamental property due to Ursescu and the author and some applications to PDE are of particular interest. Assuming only basic knowledge of functional analysis, the book will be of interest to researchers and graduate students in nonlinear analysis and PDE, and to mathematical physicists.

Table of contents (3 chapters)

Table of contents (3 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-540-47186-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-540-17974-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Evolution Operators and Semigroups
Book Subtitle
Applications to Partial Differential Equations
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1260
Copyright
1987
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-47186-8
DOI
10.1007/BFb0077768
Softcover ISBN
978-3-540-17974-0
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 288
Topics