
Nonlinear Evolution Operators and Semigroups
Applications to Partial Differential Equations
Nicolae H. Pavel(Author)
Springer (Publisher)
Published on 24. June 1987
Book
Paperback/Softback
VIII, 288 pages
978-3-540-17974-0 (ISBN)
Description
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 Brézis, 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.
More details
Series
Edition
1987 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 288 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 16 mm
Weight
446 gr
ISBN-13
978-3-540-17974-0 (9783540179740)
DOI
10.1007/BFb0077768
Schweitzer Classification
Content
Nonlinear evolution operators.- Nonlinear semigroups.- Applications to partial differential equations.