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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Groupe de travail

Stability estimate for hyperbolic inverse problem with time dependent coefficient




Date(s) : 17/06/2015   iCal
15h00 - 16h00

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« >ArXiv 2015

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