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}
}
  • Masaru Ikehata
  • Published 1999
  • Mathematics
  • Inverse Problems
  • 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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