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arXiv · 1705.02756

Reconstruction of a source domain from the Cauchy data

Masaru Ikehata
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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.

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Masaru Ikehata. 2017-05-08. Reconstruction of a source domain from the Cauchy data. https://doi.org/10.1088/0266-5611%2F15%2F2%2F019

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