Accession Number:

AD0619957

Title:

ASYMPTOTIC EXPANSIONS OF SOLUTIONS OF INITIAL-BOUNDARY VALUE PROBLEMS FOR A DISPERSIVE HYPERBOLIC EQUATION.

Descriptive Note:

Research rept.,

Corporate Author:

NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s):

Report Date:

1965-06-01

Pagination or Media Count:

43.0

Abstract:

Initial-boundary value problems for an energy conserving dispersive hyperbolic equation, the Klein-Gordon equation, are considered. This equation exhibits the main feature of dispersion The speed of propagation depends on frequency. Problems in two space dimensions with a parabolic boundary are discussed. The primary purpose of this paper is to compare the asymptotic expansion of solutions obtained by a technique we call the ray method with the asymptotic expansion of the exact solution. In the cases considered, the solutions agree. In addition a numerical comparison is made of the exact and asymptotic solutions for a specified region of space time. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE