Évènement

Date(s) : 13/07/2016   iCal
15h00 - 16h00

We consider Carleman-type estimate for second order hyperbolic systems in an anisotropic case and its applications. We first establish a Carleman-type estimate for hyperbolic systems in which the coefficient matrices satisfy suitable conditions. Then we apply this Carleman estimate to an inverse source problem for second-order hyperbolic systems in an anisotropic case and prove an estimate of the Hölder type. We further apply this Carleman estimate to an inverse coefficient problem for Maxwell’s equations in a uniaxially anisotropic medium, and prove a stability estimate of Lipschitz type, provided that unknown coefficients satisfy some a priori conditions.

https://www.researchgate.net/profile/Shumin_Li7

Catégories

• Groupe de travail