Accession Number : AD0748763
Title : Scattering Theory for Elliptic Differential Operators in Unbounded Domains.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Goldstein,Charles I.
Report Date : JUN 1972
Pagination or Media Count : 63
Abstract : The purpose of the paper is to develop a new method for meromorphically continuing the S-matrix and distorted waves associated with a general class of elliptic partial differential operators and for relating the poles to resonant states. The method is applied to non-selfadjoint second order perturbations of the Laplacian acting in wedge-like regions contained in (R sup N). The main analytic tools employed are the limiting absorption principle and the Schwarz reflection principle. (Author)
Descriptors : (*PARTIAL DIFFERENTIAL EQUATIONS, FUNCTIONAL ANALYSIS), S MATRIX, HILBERT SPACE, OPERATORS(MATHEMATICS), ANALYTIC FUNCTIONS, COMPLEX VARIABLES, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE