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arXiv · 2201.08722

Uniqueness of time-dependent inclusions in anisotropic heat conductive bodies

Olivier Poisson
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Abstract

We consider an inverse boundary value problem for the heat equation with a nonsmooth coefficient of conductivity which models the displacement of a moving body inside a nonhomogeneous background. We prove the uniqueness of the moving inclusion from the knowledge of the Dirichlet-to-Neumann operator by using a dynamical probe method.

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Olivier Poisson. 2022-01-21. Uniqueness of time-dependent inclusions in anisotropic heat conductive bodies. https://arxiv.org/abs/2201.08722

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