June 18,  19,  20   2003
 
 
 

02:00 PM - Friday, June 20, 2003 - Amphitheater Hermite

Jean-Pierre Puel

Laboratoire de mathématiques appliquées
Université de Versailles Saint-Quentin-en-Yvelines
45, avenue des Etats-Unis, 78030 Versailles Cedex - France

jppuel@cmapx.polytechnique.fr

Applications of Carleman Inequalities to Some Inverse Problems

Our problem is to retrieve a time independent potential in a wave equation or a Schrödinger equation from one measurement on a part G0 of the boundary during a period of time T. Of course we have to impose some conditions on G0 and, for the wave equation, on T. We will present a method based on global Carleman inequalities which gives a stability result for the determination of potentials in suitable norms in terms of the time derivative of the normal derivative on G0.