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arXiv · 2104.00132

An inverse problem for a fractional diffusion equation with fractional power type nonlinearities

Li Li
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Abstract

We study the well-posedness of a semilinear fractional diffusion equation and formulate an associated inverse problem. We determine fractional power type nonlinearities from the exterior partial measurements of the Dirichlet-to-Neumann map. Our arguments are based on a first order linearization as well as the parabolic Runge approximation property.

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Li Li. 2021-03-31. An inverse problem for a fractional diffusion equation with fractional power type nonlinearities. https://doi.org/10.3934/ipi.2021064

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