Ibtissem BEN AICHA – Groupe de Travail Guide d’ondes, milieux stratifiés et problèmes inverses (TBA)

Carte non disponible

Date(s) - 17/06/2015
15 h 00 min - 16 h 00 min

Catégories Pas de Catégories

Title :Stability estimate for hyperbolic inverse problem with time dependentcoefficient We study the stability in the inverse problem of determining the time dependentzeroth-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 determinationof q from the Dirichlet-to-Neumann map, in a subset of our domain assuming that itis known outside this subset. Moreover, we prove that we can extend this result to thedetermination of q in a larger region, and then in the whole domain provided that wehave much more data.[