A limiting absorption principle for scattering problems with unbounded obstacles (Q2769915)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A limiting absorption principle for scattering problems with unbounded obstacles |
scientific article; zbMATH DE number 1702172
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A limiting absorption principle for scattering problems with unbounded obstacles |
scientific article; zbMATH DE number 1702172 |
Statements
A limiting absorption principle for scattering problems with unbounded obstacles (English)
0 references
30 June 2002
0 references
scattering by unbounded obstacles
0 references
limiting absorption principle
0 references
0 references
A generalized mode matching method is developed that applies to a wide class of scattering problems involving the time-harmonic two-dimensional Helmholtz equation. The paper focuses on scattering problems where the main difficulty is due to the presence of heterogeneities at infinity. A variational approach is used which leads to an integro-differential formulation for the problem whose unknown is the trace of the field in an unbounded one-dimensional interface. It is established that the problem is well posed and the limiting absorption principle is established.
0 references
