Accession Number : ADA141695

Title :   A Remark on Semilinear Perturbations of Abstract Parabolic Equations.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON 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 initial-value 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 initial-value 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 P-norms 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