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.
