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