Stability estimates in inverse problems for the Schrödinger and wave equations with trapping

For a class of Riemannian manifolds with boundary that includes all negatively curved strictly convex boundary, we establish Hölder type stability estimates in the geometric inverse problem determining electric potential or conformal factor from Dirichlet-to-Neumann map associated Schrödinger equation and wave equation. The novelty this result lies fact allow some geodesics to be trapped inside manifold have infinite length.