Ella Pavlechko, Determination of a strictly convex and non-trapping Riemannian Manifold from partial travel time data
ZoomIn this talk we will introduce a geometric inverse problem arising from geophysical imaging. Take (M,g) to be a smooth, compact, and strictly convex Riemannian manifold with smooth boundary. Let Γ be a nonempty open subset of the boundary. For each p in M we obtain the boundary distance function d(p,z), where z is in…