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