On some boundary value problems on a strip in the complex plane (Q1422457)
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: On some boundary value problems on a strip in the complex plane |
scientific article; zbMATH DE number 2042728
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some boundary value problems on a strip in the complex plane |
scientific article; zbMATH DE number 2042728 |
Statements
On some boundary value problems on a strip in the complex plane (English)
0 references
15 February 2004
0 references
The Sommerfeld integral inversion method for the Helmholtz equation in an angular region with different boundary values leads to boundary value problems in an infinite strip of the complex plane. The author investigates a generic system for such boundary value problems and gives the existence and uniqueness results with optimal growth estimates on the solution. The author also gives the solutions of the Dirichlet problem in a strip when the boundary functions grow exponentially.
0 references
boundary value problem
0 references
functional equations
0 references
Dirichlet problem
0 references
growth estimates
0 references
0 references
