Journal
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
Volume 16, Issue 1, Pages 19-33Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/JIIP.2008.002
Keywords
Riemann-Hilbert problem; potential; Schrodinger equation; inversion formula; Cauchy data
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In this paper we prove that the Cauchy data for the Schrodinger 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.
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