Ibtissem BEN AICHA – Stability estimate for hyperbolic inverse problem with time dependent coefficient

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Date(s) - 17 juin 2015

Catégories Pas de Catégories

We study the stability in the inverse problem of determining the time dependent zeroth-order coefficient q(t, x) arising in the wave equation, from boundary observations.We derive, in dimension n>3 , a log-type stability estimate in the determination of q from the Dirichlet-to-Neumann map, in a subset of our domain assuming that it is known outside this subset. Moreover, we prove that we can extend this result to the determination of q in a larger region, and then in the whole domain provided that we have much more data. ArXiv 2015[