Electronic Journal of Differential Equations,
Conference 01 (1998), pp. 23-39

Title: Uniqueness for a boundary identification problem 

Authors: Kurt Bryan (Rose-Hulman Institute of Tech.,Terre Haute, IN, USA)
  Lester F. Caudill (Univ. of Richmond, Richmond, VA)
 
Abstract: 
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 ${\mathbb R}^n$ 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.
Math Subject Classifications: 35A40, 35J25, 35R30.
Key Words: Inverse problems; non-destructive testing; thermal imaging.