GCOE Seminars

Seminar information archive ~06/20Next seminarFuture seminars 06/21~


2009/01/30

15:10-16:10   Room #370 (Graduate School of Math. Sci. Bldg.)
Lucie Baudouin (LAAS-CNRS groupe MAC)
Use of Carleman estimates for stability in some inverse problems
[ Abstract ]
In this presentation, we shall present how global Carleman inequalities can be used to prove the well-posedness of inverse problems related to various partial differential equations. This lecture will gather joint works with J.-P. Puel, A. Osses and A. Mercado. We focus here on stability results for the determination of potential from Neumann boundary measurements by using the Bukhgeim-Klibanov method. We will begin with the simplest models: the Schrodinger and wave equations, and then present some more recent results for transmission problems (same equations with discontinuous main coefficient).