Accession Number:

ADA071096

Title:

The Approximation of Solutions to the Backwards Heat Equation by Solutions of Pseudoparabolic Equations.

Descriptive Note:

Interim rept.,

Corporate Author:

DELAWARE UNIV NEWARK APPLIED MATHEMATICS INST

Personal Author(s):

• Colton ,David

Report Date:

1979-01-01

Pagination or Media Count:

14.0

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

Descriptors:

• *HEAT TRANSFER
• *PARTIAL DIFFERENTIAL EQUATIONS
• EIGENVALUES
• BOUNDARY VALUE PROBLEMS
• PARABOLAS
• POTENTIAL THEORY
• BANACH SPACE

Subject Categories:

• Theoretical Mathematics
• Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE