The Approximation of Solutions to the Backwards Heat Equation by Solutions of Pseudoparabolic Equations.
Abstract
It is well known that solutions of the backwards heat equation can be approximated by solutions of a pseudoparabolic equation depending on a small parameter (epsilon). The emphasis in this paper is on the mathematical problems which arise in approximating solutions to initial-boundary value problems for this perturbed equation. The approximation procedure we propose is obtained through the development of a potential theory for pseudoparabolic equations, the asymptotic evaluation of certain contour integrals, and results based on a theorem of Levin in the theeory of entire functions. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1979
- Accession Number
- ADA071096
Entities
People
- David Colton
Organizations
- University of Delaware