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| The aim of this work is to establish $L^p$ Carleman estimates for the (dynamical) Schr\"odinger equation on Riemannian manifolds which are products of an Euclidean factor and a compact RIemannian manifold, and to underline the relations with resolvent estimates and Strichartz estimates for the Schr\"odinger. Our interest lies primarily in applications to unique continuation and control theory for nonlinear equations but this type of estimates have been useful for inverse problems in the context of elliptic problems, so we hope it might be of some interest. This is joint work with Camille Laurent. |
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