Nonlinear evolution operators and semigroups : applications to partial differential equations

＜図書＞
Nonlinear evolution operators and semigroups : applications to partial differential equations

責任表示	Nicolae H. Pavel
シリーズ	Lecture notes in mathematics ; 1260
データ種別	図書
出版情報	Berlin ; Tokyo : Springer-Verlag , c1987
本文言語	英語
大きさ	vi, 285 p. ; 25 cm
概要	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 zis, 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. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7018817

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
		理系図3F 数理独自	SER/LNM/1260	1987		068222187007968		予約・取寄			予約・取寄
	: gw	数理雑誌室	SER/LNM/K1260	1987		068252187008584

一般注記	Bibliography: p. [269]-283 Includes index
著者標目	*Pavel, N. H. (Nicolae H.)
件　名	LCSH:Differential equations LCSH:Nonlinear operators LCSH:Evolution equations, Nonlinear LCSH:Semigroups NDLSH:微分方程式
分　類	LCC:QA3 LCC:QA372 DC19:510 s DC19:515.3/5 NDC8:413.6
書誌ID	1000102725
ISBN	3540179747
NCID	BA0071744X
巻冊次	: gw ; ISBN:3540179747 : us ; ISBN:0387179747
登録日	2009.09.10
更新日	2017.02.18