000			02499nam a2200337 a 4500
001			cutn
003			CUTN
005			20230914125439.0
008			900614s1976 rm b 00110 eng d
020			_a9028602054
020			_a9789028602052
035			_a2068234
039	0		_a2 _b3 _c3 _d2 _e3
040			_aOrPS _cOrPS
041	1		_aeng _hrum
082			_a515.73 _bBAR
090			_aQA372 _bBar
100	1	0	_aBarbu, Viorel.
245	1	0	_aNonlinear semigroups and differential equations in Banach spaces _c/ Viorel Barbu.
260			_aBucure₉sti _b: Editura Academiei _a; Leyden _b: Noordhoff, _c1976.
300			_a352 p. _c; 25 cm.
500			_aRevised and enlarged translation of: Semigrupuri de contrac₉tii neliniare ³in spa₉tii Banach.
500			_aIncludes index.
504			_aBibliography: p. 341-350.
520			_aThis book is concerned with nonlinear semigroups of contractions in Banach spaces and their application to the existence theory for differential equa­ tions associated with nonlinear dissipative operators. The study of nonlinear semi groups resulted from the examination of nonlinear parabolic equations and from various nonlinear boundary value problems. The first work done by Y. Komura stimulated much further work and interest in this subject. Thus a series of studies was begun and then continued by T. Kato, M. G. Crandall, A. Pazy, H. Brezis and others, who made important con­ tributions to the development of the theory. The theory as developed below is a generalisation of the Hille-Yosida theory for one-parameter semigroups of linear operators and is a collection of diversified results unified more or less loosely by their methods of approach. This theory is also closely related to the theory of nonlinear monotone operators. Of course not all aspects of this theory could be covered in our expo­ sition, and many important contributions to the subject have been excluded for the sake of brevity. We have attempted to present the basic results to the reader and to orient him toward some of the applications. This book is intended to be self-contained. The reader is assumed to have only a basic knowledge of functional analysis, function theory and partial differential equations. Some of the necessary prerequisites for the reading of this 'book are summarized, with or without proof, in Chapter I.
650		0	_aBanach spaces.
650		0	_aSemigroups.
650		0	_aOperator theory.
942			_2ddc _cPROJECT
999			_c39795 _d39795