The Carleman formula for the Helmholtz equation on the plane |
| |
| Authors: | É V Arbuzov A L Bukhgeim |
| |
| Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk, Russia;(2) Present address: Wichita State University, USA |
| |
| Abstract: | We consider the Cauchy problem for the Helmholtz equation in an arbitrary bounded planar domain with Cauchy data only on part of the boundary of the domain. We derive a Carleman-type formula for a solution to this problem and give a conditional stability estimate. |
| |
| Keywords: | Cauchy problem Helmholtz equation Carleman formula |
| 本文献已被 SpringerLink 等数据库收录！ |
