Scattering Theory for the Laplacian in Domain's with Cylinders.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1974
- Accession Number
- AD0783681
Entities
People
- William C. Lyford
Organizations
- University of Utah