An application of the spherical means method in uniqueness proofs of inverse problems.
Date(s) : 10/10/2017 iCal
10h00 - 11h00
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.
http://www.pmr.poli.usp.br/alexandre-kawano/
Catégories
