Reconstruction of a source domain from the Cauchy data

@article{Ikehata1999ReconstructionOA,
title={Reconstruction of a source domain from the Cauchy data},
author={Masaru Ikehata},
journal={Inverse Problems},
year={1999},
volume={15},
pages={637-645}
}

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.