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) : Lyford,William C.

Report Date : MAR 1974

Pagination or Media Count : 96

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.

Descriptors :   *Wave equations, Partial differential equations, Potential theory, Scattering, Operators(Mathematics), Hilbert space

Subject Categories : Theoretical Mathematics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE