Recovering a potential from Cauchy data in the two-dimensional case
Bukhgeym, Alexander L.
Bukhgeym, Alexander L.
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2008
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Article
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Keywords
Cauchy data,Inversion formula,Potential,Riemann-Hilbert problem,Schrödinger equation
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Citation
Bukhgeim, A. (2008). Recovering a potential from Cauchy data in the two-dimensional case. Journal of Inverse and Ill-posed Problems, 16(1), 19-33. https://doi.org/10.1515/jiip.2008.002
Abstract
In this paper we prove that the Cauchy data for the Schrödinger equation in the two-dimensional case determines a potential from Lp (for p > 2) uniquely. We also obtain a linear inversion formula for smooth potentials. © de Gruyter 2008.
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De Gruyter
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Journal of Inverse and Ill-Posed Problems
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09280219