Uniqueness and stability in an inverse problem for the Schrödinger equation
Résumé
We study a Schrödinger equation, with time dependant potential, set in a bounded domain with Dirichlet boundary data and real valued initial condition We consider the inverse problem of determining the potential when the normal derivative is given on a part of the boundary. The main tool to prove uniqueness and stability of this inverse problem is an appropriate global Carleman estimate.
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