Scattering Theory for Elliptic Differential Operators in Unbounded Domains.

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)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1972
Accession Number
AD0748763

Entities

People

  • Charles I. Goldstein

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Absorption
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Numerical Methods And Procedures
  • Perturbations
  • Reflection
  • Scattering

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Linear Algebra
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.