Single logarithmic conditional stability in determining unknown boundaries
Abstract
We prove a conditional stability estimate of log-type for determining unknown boundaries from a single Cauchy data taken on an accessible sub-boundary. Our approach relies on new interior and boundary estimates for elliptic equations which are derived from the Carleman estimate. Stability results for target identification of an acoustic sound-soft scatterer from one or several far-field patterns are also...
Paper Details
Title
Single logarithmic conditional stability in determining unknown boundaries
Published Date
Aug 28, 2018
Journal
Volume
99
Issue
5
Pages
725 - 746
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