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math.AP2023

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 W 2, and the damped wave or Schrödinger equations on M , under the action of a damping fu…