Kurt Bryan & Lester F. Caudill, Jr.
An inverse problem for an initial-boundary value problem is considered. The goal is to determine an unknown portion of the boundary of a region in Rn from measurements of Cauchy data on a known portion of the boundary. The dynamics in the interior of the region are governed by a differential operator of parabolic type. Utilizing a unique continuation result for evolution operators, along with the method of eigenfunction expansions, it is shown that uniqueness holds for a large and physically reasonable class of Cauchy data pairs.
Published November 12, 1998.
Mathematics Subject Classifications: 35A40, 35J25, 35R30.
Key words and phrases: Inverse problems, non-destructive testing, thermal imaging.
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Lester F. Caudill, Jr.
Department of Mathematics and Computer Science
University of Richmond
Richmond, VA 23173, USA
E-mail address: firstname.lastname@example.org