Recovery of an unknown specific heat by means of overposed data
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In this paper we consider a class of inverse problems in which an unknown function, c(.), is to be determined from a parabolic initial‐value problem, with overposed Dirichlet data along a portion of the boundary. A mapping between the overposed data and the unknown coefficient is obtained in the form of a singular integral equation. This is solved by iteration, and the resulting fixed point is shown to be the solution of the inverse problem. Sufficient conditions for convergence of this method, as well as an extension to the case of an unknown thermal conductivity, are given. Copyright © 1990 Wiley Periodicals, Inc.
author list (cited authors)
Pilant, M., & Rundell, W.