Uniqueness theorems for inverse obstacle scattering in Lipschitz domains
Abstract
An inverse problem of finding an obstacle and the boundary condition on its surface from the fixedenergy 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.
 Publication:

arXiv eprints
 Pub Date:
 January 2000
 arXiv:
 arXiv:mathph/0001015
 Bibcode:
 2000math.ph...1015R
 Keywords:

 Mathematical Physics;
 Analysis of PDEs;
 35R30;
 73D50
 EPrint:
 Applicable Analysis, 59, (1995), 377383