RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA

2002268 citationsJournal Article

Authors

Alexander Bukhgeim · Sobolev Institute of Mathematics

Günther Uhlmann · University of Washington

Abstract

ABSTRACT In this paper we prove in dimension n ⪆ 3 that knowledge of the Cauchy data for the Schrödinger equation measured on particular subsets of the boundary determines uniquely the potential.

Topics & Keywords

Numerical methods in inverse problems Image and Signal Denoising Methods Mathematical Analysis and Transform Methods

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: Communications in Partial Differential Equations

Volume 27, Issue 3-4, pp. 653-668

DOI: 10.1081/pde-120002868

Field-Weighted Citation Impact: 5.63