A remark on the logarithmic decay of the damped wave and Schrödinger equations on a compact Riemannian manifold

Iván Moyano, Nicolas Burq

In this paper we consider a compact Riemannian manifold (M, g) of class C 1 $\cap$ W 2,$\infty$ and the damped wave or Schrödinger equations on M , under the action of a damping fu…