We consider compact smooth Riemannian manifolds with boundary of dimension greater than two. We show that for wave equations, boundary data on the manifold is enough to determine time dependent and time independent lower order source terms in a variety of geometric settings. The main technique is the use of the Gaussian beam Ansatz. We briefly discuss the relationship of the work to recent progress on the Calderon problem.
Stable determination of X-ray transforms of time dependent potentials from partial boundary data
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Nom de l'orateur
Alden Waters
Etablissement de l'orateur
ENS Paris
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