Special Session 57: Inverse problems in PDE and geometry
Contents
We consider the wave equation on a smooth compact Riemannian manifold
with boundary and show that acoustic measurements with
sources and receivers on disjoints sets on the boundary
determine the manifold uniquely assuming that the wave equation is
exactly controllable from the set of sources.
The exact controllability can be characterized in terms of the billiard flow of the manifold.
We will also consider the problem to determine lower order terms in the wave equation.