High Frequency Wave Propagation

CSIC Building (#406), Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions

Inverse hyperbolic problems with the boundary data on the part of the boundary

Gregory Eskin

Department of Mathematics at University of California, Los Angeles

Abstract:  We prove the uniqueness modulo a diffeomorphism and a gauge transformation of the solution of the inverse problem for the general second order hyperbolic equation with zero initial conditions and the boundary data given on an open part L of the boundary. The domain can be multi-connected and L can be not connected. The methods used include the unique continuation theorem by Tataru and the geometric optics solutions.