Accession Number : ADA116186

Title :   Comparison Theorems for Reaction-Diffusion Systems Defined in an Unbounded Domain.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Terman,David

PDF Url : ADA116186

Report Date : Apr 1982

Pagination or Media Count : 15

Abstract : Comparison theorem techniques have played a central role in the study of scalar, nonlinear, parabolic differential equations. These techniques have proven less successful in the study of systems of equations for several reasons. Usually a very strong monotonicity condition must be imposed on the nonlinear terms of the equations. This severely restricts the applicability of the comparison theorems. Furthermore, there are technical difficulties associated with unbounded domains for systems of equations which are not present for scalar equations. In this report we demonstrate how these difficulties can be overcome for certain systems of reaction-diffusion equations. These systems have numerous applications including nerve conduction and mathematical ecology. (Author)

Descriptors :   *Theorems, Nonlinear differential equations, Scalar functions, Parabolas, Comparison

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE