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15 May 2011 Calderón inverse problem with partial data on Riemann surfaces
Colin Guillarmou, Leo Tzou
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Duke Math. J. 158(1): 83-120 (15 May 2011). DOI: 10.1215/00127094-1276310

Abstract

On a fixed smooth compact Riemann surface with boundary (M0,g), we show that, for the Schrödinger operator Δg+V with potential VC1,α(M0) for some α>0, the Dirichlet-to-Neumann map N|Γ measured on an open set ΓM0 determines uniquely the potential V. We also discuss briefly the corresponding consequences for potential scattering at zero frequency on Riemann surfaces with either asymptotically Euclidean or asymptotically hyperbolic ends.

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Colin Guillarmou. Leo Tzou. "Calderón inverse problem with partial data on Riemann surfaces." Duke Math. J. 158 (1) 83 - 120, 15 May 2011. https://doi.org/10.1215/00127094-1276310

Information

Published: 15 May 2011
First available in Project Euclid: 3 May 2011

zbMATH: 1222.35212
MathSciNet: MR2794369
Digital Object Identifier: 10.1215/00127094-1276310

Subjects:
Primary: 35R30
Secondary: 58J32

Rights: Copyright © 2011 Duke University Press

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Vol.158 • No. 1 • 15 May 2011
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