| Abstract: |
| In this talk we study the well-posedness of an inverse problem modeling anisotropic diffusion, involving a fractional time derivative of Caputo type of order $\alpha\in(0,1)$. More precisely, we consider a fractional-in-time abstract Cauchy problem involving a finite sum of operators, multiplied by suitable positive conductivities, which are considered as unknowns in the inverse problem. We prove the uniqueness of the solution of the inverse problem under suitable additional conditions and we provide a conditioned existence result. Then, we study the behavior of the solution of the inverse problem as $\alpha\to 1^-$. |
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