Reconstruction of a source domain from the Cauchy data
- 1 January 1999
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 15 (2) , 637-645
- https://doi.org/10.1088/0266-5611/15/2/019
Abstract
We consider an inverse source problem for the Helmholtz equation in a bounded domain. The problem is to reconstruct the shape of the support of a source term from the Cauchy data on the boundary of the solution of the governing equation. We prove that if the shape is a polygon, one can calculate its support function from such data. An application to the inverse boundary value problem is also included.Keywords
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This publication has 2 references indexed in Scilit:
- Some remarks on the problem of source identification from boundary measurementsInverse Problems, 1998
- The layer potential technique for the inverse conductivity problemInverse Problems, 1996