# American Institute of Mathematical Sciences

November  2012, 6(4): 663-679. doi: 10.3934/ipi.2012.6.663

## Simultaneous determination of the diffusion and absorption coefficient from boundary data

 1 Department of Mathematics, University of Würzburg, Germany

Received  June 2011 Revised  July 2012 Published  November 2012

We consider the inverse problem of determining both an unknown diffusion and an unknown absorption coefficient from knowledge of (partial) Cauchy data in an elliptic boundary value problem. For piecewise analytic coefficients, we prove a complete characterization of the reconstructible information. It is shown to consist of a combination of both coefficients together with the jumps in the leading order diffusion coefficient and its derivative.
Citation: Bastian Harrach. Simultaneous determination of the diffusion and absorption coefficient from boundary data. Inverse Problems & Imaging, 2012, 6 (4) : 663-679. doi: 10.3934/ipi.2012.6.663
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