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Stability estimates for an inverse elliptic problem
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M. Choulli
Published/Copyright:
September 7, 2013
Abstract
- We prove stability estimates for an inverse elliptic problem consisting in the determination of an unknown boundary coefficient from an overdetermined data. We consider both the case of all boundary measurements and the case of single boundary measurement. After studying the problem in its generality we treat the special case in which the unknown boundary coefficient is supported in an hyperplane. We find in this latest case that the stability estimates are, in some sense, better than those in the general case.
Published Online: 2013-09-07
Published in Print: 2002-12
© 2013 by Walter de Gruyter GmbH & Co.
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