Gylys-Colwell, Frederick An inverse problem for the Helmholtz equation. (English) Zbl 0860.35142 Inverse Probl. 12, No. 2, 139-156 (1996). The author studies the question of uniqueness of an inverse problem for the Helmholtz equation. It is the problem to reconstruct the (isotropic or unisotropic) conductivity distribution from field measurements outside the body. In the two dimensional case it is shown that measurements for two frequencies suffice provided that the parameters are sufficiently close to constant. Reviewer: A.Kirsch (Karlsruhe) Cited in 17 Documents MSC: 35R30 Inverse problems for PDEs 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation Keywords:Helmholtz equation; anisotropic case; uniqueness; conductivity distribution PDFBibTeX XMLCite \textit{F. Gylys-Colwell}, Inverse Probl. 12, No. 2, 139--156 (1996; Zbl 0860.35142) Full Text: DOI