Nonlinear evolution operators and semigroups : applications to partial differential equations
Author(s)
Bibliographic Information
Nonlinear evolution operators and semigroups : applications to partial differential equations
（Lecture notes in mathematics, 1260）
Springer-Verlag, c1987
- : gw
- : us
Available at / 72 libraries
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Library & Science Information Center, Osaka Prefecture University
: gwNDC8:410.8||||10009466158
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||12608708025S
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:510/P3372070055074
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Note
Bibliography: p. [269]-283
Includes index
Description and Table of Contents
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 Brezis, 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
Nonlinear evolution operators.- Nonlinear semigroups.- Applications to partial differential equations.
by "Nielsen BookData"