Mathematics for various disciplines Carleman estimates for second order operators with two large parameters

2007-12-04 16:15 - 2007-12-04 17:15
Graduate School of Mathematical Sciences the University of Tokyo, Room #122
Victor Isakov (Wichita State University
We obtain new Carleman type estimates for general second order linear partial differential operators. These estimates hold for the weight functions under pseudoconvexity conditions relating the operator and weight function. We discuss these conditions. We give applications to uniqueness and stability of the continuation and inverse problems for elasticity system with residual stress without smallness assumptions on residual stress. This is a joint work with Nanhee Kim.