An inverse problem for the fractional porous medium equation

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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Cited by in corpus (1)

• An inverse problem for semilinear equations involving the fractional Laplacian