Thierry Daude (Cergy-Pontoise)


Burnside Hall Room 920, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

Title:On the anisotropic Calderon problem on singular Riemannian manifolds of Painleve type: the borderline between uniqueness and invisibility.
Abstract: The anisotropic Calderon problem consists in determing the metric of a Riemannian manifold with boundary from the knowledge of its Dirichlet-to-Neumann map. I this talk, I will study this type of problem on Riemannian manifolds equiped with singular metrics, i.e. metrics whose coefficients are in some L^p spaces. In the particular case of Riemannian manifolds having certain separability properties of the geodesic flow (Painlevé property), I shall show what is the borderline between uniqueness and non-uniqueness results in the corresponding anisotropic Calderon problem. This is a joint work with Niky Kamran (McGIll) and Francois Nicoleau (Nantes). 

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