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

Report Date:

1987-04-01

Pagination or Media Count:

55.0

Abstract:

The Cauchy problem for various types of secondary order nonlinear elliptic equations is considered. A substitution vepsilon 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 epsilonO. 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