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arXiv · 2111.14982

An inverse problem for the fractional porous medium equation

Li Li
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Abstract

We consider a time-independent variable coefficients fractional porous medium equation and formulate an associated inverse problem. We determine both the conductivity and the absorption coefficient from exterior partial measurements of the Dirichlet-to-Neumann map. Our approach relies on a time-integral transform technique as well as the unique continuation property of the fractional operator.

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Li Li. 2021-11-29. An inverse problem for the fractional porous medium equation. https://doi.org/10.3233/asy-221781

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