TIME-DEPENDENT DOMAINS FOR NONLINEAR EVOLUTION OPERATORS AND PARTIAL DIFFERENTIAL EQUATIONS

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51219

Title:	TIME-DEPENDENT DOMAINS FOR NONLINEAR EVOLUTION OPERATORS AND PARTIAL DIFFERENTIAL EQUATIONS
Authors:	Lin,CY
Contributors:	數學系
Keywords:	BANACH SPACES;SEMIGROUPS;GENERATION
Date:	2011
Issue Date:	2012-03-27 18:25:15 (UTC+8)
Publisher:	國立中央大學
Abstract:	This article concerns the nonlinear evolution equation du(t)/dt is an element of A(t)u(t), 0 <= s < t < T, u(s) = u(0) in a real Banach space X, where the nonlinear, time-dependent, and multi-valued operator A(t) : D(A(t)) subset of X -> X has a time-dependent domain D(A(t)). It will be shown that, under certain assumptions on A(t), the equation has a strong solution. Illustrations are given of solving quasi-linear partial differential equations of parabolic type with time-dependent boundary conditions. Those partial differential equations are studied to a large extent.
Relation:	ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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