1·î17Æü(¿å) 14:30 -- 16:00 Alexandre Boukhgueim
(Sobolev Institute of Mathematics, Russia)
``One generalization of the Sylvester - Uhlmann Theorem''
¡ãAbstract¡ä
We discuss uniqueness in an inverse problem to determine the potential
term from the boudary measurement in 3D. We show that observation of all
the Neumann data on a part of the boundary, which is a little larger than
the half of it, for all the Dirichlet data guarantees the uniqueness.
Roughly speaking, a half of the Dirichlet - Neumann map uniquely determines
the potential term, and it is a generalization of the well-known result
of Sylvester - Uhlmann.
(Joint work with G. Uhlmann)