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:

1972-06-01

Pagination or Media Count:

63.0

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