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arXiv:1705.02756 [math.AP]AbstractReferencesReviewsResources

Reconstruction of a source domain from the Cauchy data

Masaru Ikehata

Published 2017-05-08Version 1

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.

Comments: 10 pages
Journal: Inverse Problems 15(1999) 637-645
Categories: math.AP
Subjects: 35R30
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