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Center for Scientific Computation and Mathematical Modeling

Research Activities > Programs > High Frequency Wave Propagation 2005 > Gregory Eskin

High Frequency Wave Propagation

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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.