Accession Number : AD0755072
Title : On Two Conjectures in the Fixed Membrane Eigenvalue Problem.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Payne,L. E.
Report Date : DEC 1972
Pagination or Media Count : 20
Abstract : In the paper the author conditions sufficient to insure that the following two results hold for eignefunctions of the fixed membrane problem defined over a closed bounded region of the plane: The first eigenfunction has only one interior critical point; and The second eigenfunction has no closed interior nodal curve. (Author)
Descriptors : (*PARTIAL DIFFERENTIAL EQUATIONS, *CONVEX SETS), MATRICES(MATHEMATICS), INEQUALITIES, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE