Abstracts

High frequency Calderon problem at fixed frequency

Suman Kumar Sahoo, Indian Institute of Technology Bombay, Mumbai

We study an inverse boundary value problem for the Laplace-Beltrami operator at high frequency on a compact Riemannian manifold with strictly convex boundary. We prove that, for sufficiently large but fixed frequency, the Dirichlet-to-Neumann map determines the scattering relation and the full lens data of the metric.