Scattering Theory for the Laplacian in Domain's with Cylinders.
Technical summary rept. no. 23,
UTAH UNIV SALT LAKE CITY DEPT OF MATHEMATICS
Pagination or Media Count:
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.
- Theoretical Mathematics
- Quantum Theory and Relativity