Accession Number : ADA187451

Title :   On an Overdetermined Neumann Problem,

Corporate Author : MARYLAND UNIV COLLEGE PARK

Personal Author(s) : Bernstein, Carlos A

PDF Url : ADA187451

Report Date : 30 Jul 1987

Pagination or Media Count : 7

Abstract : Several questions in harmonic analysis, partial differential equations and applied mathematics lead to the question of characterizing domains for which overdetermined boundary value problems have solutions. Theorem Let M = R superscript n (resp. H superscript n), the existence of infinitely many eigenvalues for either of the problems (D) or (N) characterizes the balls (resp.geodesic balls) among all the relatively compact domains omega with connected Lipshitz boundary.

Descriptors :   *BOUNDARY VALUE PROBLEMS, *EIGENVALUES, APPLIED MATHEMATICS, HARMONIC ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE