Accession Number:

AD0783681

Title:

Scattering Theory for the Laplacian in Domain's with Cylinders.

Descriptive Note:

Technical summary rept. no. 23,

Corporate Author:

UTAH UNIV SALT LAKE CITY DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1974-03-01

Pagination or Media Count:

96.0

Abstract:

In the paper the abstract two Hilbert space scattering theory is combined with the principle of limiting absorption to investigate the structure of the selfadjoint operator H and the associated wave equation determined by the negative Laplacian with a homogeneous Dirichlet or Neumann boundary condition in an unbounded domain in Euclidean N-space. The results in this paper can be applied to many problems of classical physics. Any system which satisfies the wave equation with a homogeneous Dirichlet or Neumann boundary condition in a domain omega is described by these results.

Subject Categories:

  • Theoretical Mathematics
  • Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE