• Corpus ID: 238634524

Exponential stabilization of waves for the Zaremba boundary condition

@inproceedings{Cornilleau2021ExponentialSO,
  title={Exponential stabilization of waves for the Zaremba boundary condition},
  author={Pierre Cornilleau and Luc Robbiano},
  year={2021}
}
In this article we prove, under some geometrical condition on geodesic flow, exponential stabilization of wave equation with Zaremba boundary condition. We prove an estimate on the resolvent of semigroup associated with wave equation on the imaginary axis and we deduce the stabilization result. To prove this estimate we apply semiclassical measure technics. The main difficulties are to prove that support of measure is in characteristic set in a neighborhood of the jump in the boundary condition…