English

Determining a magnetic Schroedinger operator from partial Cauchy data

Analysis of PDEs 2007-05-23 v1

Abstract

In this paper we show, in dimension n >=3, that knowledge of the Cauchy data for the Schroedinger equation in the presence of a magnetic potential, measured on possibly very small subsets of the boundary, determines uniquely the magnetic field and the electric potential.

Keywords

Cite

@article{arxiv.math/0601466,
  title  = {Determining a magnetic Schroedinger operator from partial Cauchy data},
  author = {David Dos Santos Ferreira and Carlos Kenig and Johannes Sjoestrand and Gunther Uhlmann},
  journal= {arXiv preprint arXiv:math/0601466},
  year   = {2007}
}