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An Inverse Problem for the Steady State Diffusion Equation
Gerard R. Richter
Source abstract
We consider the problem of identifying a spatially varying diffusion coefficient using an observed solution to the forward problem. Under appropriate conditions, this problem can be treated as a first order hyperbolic equation in the unknown coefficient. We develop some continuous dependence results for this problem, and also propose a particularly advantageous set of test conditions for observing the forward solution.
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