Abstract
On a fixed smooth compact Riemann surface with boundary , we show that, for the Schrödinger operator with potential for some , the Dirichlet-to-Neumann map measured on an open set determines uniquely the potential . We also discuss briefly the corresponding consequences for potential scattering at zero frequency on Riemann surfaces with either asymptotically Euclidean or asymptotically hyperbolic ends.
Citation
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
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