Reconstruction of a source domain from the Cauchy data
Analysis of PDEs
2017-05-09 v1
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.
Cite
@article{arxiv.1705.02756,
title = {Reconstruction of a source domain from the Cauchy data},
author = {Masaru Ikehata},
journal= {arXiv preprint arXiv:1705.02756},
year = {2017}
}
Comments
10 pages