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