Accession Number : AD0742222

Title :   Fatou's Theorem for delta u equals lambda squared u,

Corporate Author : BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD

Personal Author(s) : Egerland,Walter O.

Report Date : APR 1972

Pagination or Media Count : 37

Abstract : Fatou's theorem on radial limits is obtained for solutions of the elliptic equation delta u = lambda squared u. The proof is based upon estimates of quotients of modified Bessel functions, a Bessel-Stieltjes integral representation and Plessner's theorem. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), BESSEL FUNCTIONS, INTEGRALS, INEQUALITIES, MEASURE THEORY, THEOREMS, POTENTIAL THEORY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE