Accession Number : ADA116155
Title : Existence of Infinitely Many Solutions for a Nonlinear Parabolic Equation.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Hoellig,Klaus
PDF Url : ADA116155
Report Date : Mar 1982
Pagination or Media Count : 29
Abstract : The purpose of this paper is to study the well-posedness of the model initial boundary value problem for the simplest case of a nonmonotone, piecewise linear, coercive phi which is decreasing on a single finite interval (a,b). Our result, as stated in the abstract, is that the problem has infinitely many solutions, whenever the initial function has f' a, and therefore, the problem is apparently not well-posed in general. However, numerical computations suggest that there should be a natural way to single out a unique solution and it is hoped that imposing additional physical motivated assumptions will lead to a well-posed problem and further insight into the general situation of nonmonotone constitutive functions phi.
Descriptors : *Boundary value problems, *Computations, Diffusion, Parabolas, Nonlinear algebraic equations, Intervals, Finite element analysis
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE