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Title: On an inverse diffusion problem
Authors: Elayyan, Alaeddin
Isakov, Victor
Keywords: Inverse problems (Differential equations);Heat - Transmission;Hydrologic models;Differential equations, Partial - Improperly posed problems
Issue Date: 1997
Abstract: In many applications, such as the heat conduction and hydrology, there is a need to recover the (possibly discontinuous) diffusion coefficient a from boundary measurements of solutions of a parabolic equation. The complete inverse problem is ill posed and nonlinear, so numerical solution is quite difficult, and we linearize the problem around constant a. We study and solve numerically the linear ill-posed problem by using regularization.
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