Stability of boundary distance representation and reconstruction of Riemannian manifolds
Department of Mathematics, Okayama University, Tsushima-naka, Okayama, 700-8530, Japan
Department of Mathematical Sciences, Loughborough University, Loughborough, LE11 3TU, United Kingdom
Department of Mathematics, Helsinki University of Technology, P.O. Box 1100, 02015 TKK, Finland
In applications, the boundary distance representation appears in many inverse problems, where measurements are made on the boundary of the object under investigation. As an example, for the heat equation with an unknown heat conductivity the boundary measurements determine the boundary distance representation of the Riemannian metric which corresponds to this conductivity.
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