Accession Number : ADA183582

Title :   Continuous Dependence on Modeling in the Cauchy Problem for Nonlinear Elliptic Equations.

Descriptive Note : Professional paper,

Corporate Author : CENTER FOR NAVAL ANALYSES ALEXANDRIA VA AIR WARFARE RESEARCH DEPT

Personal Author(s) : Bennett, Allan

PDF Url : ADA183582

Report Date : Apr 1987

Pagination or Media Count : 55

Abstract : The Cauchy problem for various types of secondary order nonlinear elliptic equations is considered. A substitution v=epsilon u in the equation leads to a perturbed equation whose solution is compared to an appropriate solution of an unperturbed second order linear elliptic equation obtained by formally setting epsilon=O. In each case a logarithmic convexity argument is used to show that appropriately constrained solutions of the original equation (assumed to exist) are shown to differ from a solution of the associated linear equation in the manner depending continuously on the parameter epsilon.

Descriptors :   *CAUCHY PROBLEM, EQUATIONS, PERTURBATIONS, SOLUTIONS(GENERAL), ELLIPSES, INTEGRAL EQUATIONS, NONLINEAR SYSTEMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE