Uniqueness theorems for inverse obstacle scattering in Lipschitz domains
Mathematical Physics
2007-05-23 v1 Analysis of PDEs
math.MP
Abstract
An inverse problem of finding an obstacle and the boundary condition on its surface from the fixed-energy scattering data is studied. A new method is developed for a proof of the uniqueness results. The method does not use the discreteness of the spectrum of the corresponding Laplacian in a bounded domain. Proof of the uniqueness results is based on the fact that the Hilbert space of square integrable functions is separable.
Cite
@article{arxiv.math-ph/0001015,
title = {Uniqueness theorems for inverse obstacle scattering in Lipschitz domains},
author = {A. G. Ramm},
journal= {arXiv preprint arXiv:math-ph/0001015},
year = {2007}
}