Recovering a potential from Cauchy data in the two-dimensional case

2008248 citationsJournal Article

Authors

A. L. Bukhgeĭm · Wichita State University

Abstract

In this paper we prove that the Cauchy data for the Schrödinger equation in the two-dimensional case determines a potential from L p (for p > 2) uniquely. We also obtain a linear inversion formula for smooth potentials.

Topics & Keywords

Numerical methods in inverse problems Seismic Imaging and Inversion Techniques Mathematical Analysis and Transform Methods

Publication Details

Published in: Journal of Inverse and Ill-Posed Problems

Volume 16, Issue 1, pp. 19-33

DOI: 10.1515/jiip.2008.002

Field-Weighted Citation Impact: 20.18

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Recovering a potential from Cauchy data in the two-dimensional case

Authors

Abstract

Topics & Keywords

Publication Details