
Accession Number : ADA141695
Title : A Remark on Semilinear Perturbations of Abstract Parabolic Equations.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Crandall,M G
PDF Url : ADA141695
Report Date : Apr 1984
Pagination or Media Count : 12
Abstract : Abstract results are given which apply to semilinear parabolic equations. Simple examples are provided by initialvalue problems for semilinear equation like u sub t = delta u + f(u). As applied to this situation, the results show that for suitable f and t greater than 0 the solution u(t,phi) of the problem with the initialvalue phi varies continuously together with its space derivatives as phi varied in a weaker sense  e.g. small perturbations of phi in some L sub Pnorms cause small changes in u(t,phi) in the space on continuously differentiable functions. (Author)
Descriptors : *Cauchy problem, *Perturbations, *Equations, Banach space, Topology, Boundary value problems, Nonlinear analysis, Evolution(General)
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE