On Singular Characteristic Initial Value Problems with Unique Solutions.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1978
- Accession Number
- ADA058535
Entities
People
- Marc Mangel
Organizations
- Center for Naval Analyses