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VOL. 44 | 2010 Calderón Inverse Problem for the Schrödinger Operator on Riemann Surfaces
Colin Guillarmou, Leo Tzou

Editor(s) Andrew Hassell, Alan McIntosh, Robert Taggart

Abstract

On a fixed smooth compact Reimann surface with boundary $(M_o, g)$, we show that the Cauchy data space (or Dirichlet-to-Neumann map $N$) of the Schrödinger operator $\Delta + V$ with $V \in C^\infty(M_0)$ determines uniquely the potential $V$.

Information

Published: 1 January 2010
First available in Project Euclid: 18 November 2014

zbMATH: 1231.35302

Rights: Copyright © 2010, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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