Accession Number : AD0709568

Title :   ON THE WAVE EQUATION IN A MULTI-DIMENSIONAL CORNER,

Corporate Author : CALIFORNIA UNIV BERKELEY

Personal Author(s) : Kupka,I. A. K. ; Osher,S.

Report Date : 1970

Pagination or Media Count : 19

Abstract : The paper describes the special case of the wave equation in the region x1,... xm, t = or > 0 with boundary conditions involving u and its normal derivative at each face. Existence, uniqueness, and continuous dependence of the solution on the inhomogeneous term are proven. A closed form for its Fourier-Laplace transform is obtained.

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), BOUNDARY VALUE PROBLEMS, HILBERT SPACE, INTEGRAL TRANSFORMS, INTEGRAL EQUATIONS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE