Shitao Liu, University of Virginia


Uniqueness and stability of determining coefficient of an inverse hyperbolic problem

Abstract: We consider a second-order hyperbolic equation on an open bounded domain in R^n for n>1 with sufficient smooth boundary which consists of an observed part and an unobserved part, subject to Neumann boundary conditions on the entire boundary. We consider an inverse problem of determining an unknown coefficient (potential) from Dirichlet data on the observed subboundary under suitable geometric conditions, we prove the uniqueness and the stability of the potential. The proof is based on the Carleman estimate.

Advisor: Irena Lasiecka (University of Virginia)