Accession Number:

ADA058535

Title:

On Singular Characteristic Initial Value Problems with Unique Solutions.

Descriptive Note:

Professional paper,

Corporate Author:

CENTER FOR NAVAL ANALYSES ARLINGTON VA

Personal Author(s):

Report Date:

1978-06-01

Pagination or Media Count:

26.0

Abstract:

A special class of characteristic first-order initial value problems are considered. The initial value problem arises in the asymptotic solution of parabolic and elliptic equations. The problem is characterized by a singular, characteristic initial manifold. Namely, initial data is given on a characteristic curve. The characteristic curve is also singular in that there is a point on the initial manifold where the equation 0. That such problems have unique solutions is proven. The theorem also has an interesting interpretation in terms of the calculus of variations.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE