An application of the spherical means method in uniqueness proofs of inverse problems.

Date(s) : 10/10/2017
10 h 00 min - 11 h 00 min

We show an application to uniqueness proofs of inverse problems of a generalization of a Theorem due to Zalcman that states that if a continuous function defined in an open and connected set $\Omega\subset\R^n$ is such that whenever it is null at a point $P\in\Omega$, then its spherical means centered at $P$ are also null, then the function is itself null. The application is the proof of uniqueness for the identification of the reaction coefficient of the diffusion equation.


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