English

A Uniqueness Theorem for Thermoacoustic Tomography in the Case of Limited Boundary Data

Analysis of PDEs 2009-02-18 v2

Abstract

We prove a uniqueness theorem for compactly supported initial data for the variable speed wave equation arising in models of thermoacoustic tomography, given measurements on a part of the boundary. The proof is based on domain of dependence arguments and D. Tataru's unique continuation theorem.

Keywords

Cite

@article{arxiv.0902.2838,
  title  = {A Uniqueness Theorem for Thermoacoustic Tomography in the Case of Limited Boundary Data},
  author = {Dustin Steinhauer},
  journal= {arXiv preprint arXiv:0902.2838},
  year   = {2009}
}

Comments

8 pages, 2 figures. Typos corrected, certain arguments clarified