198 citations · 271 across the 6 of their papers we have counts for
9 papers
Wave Decay with Singular Damping
Hans Christianson, Emmanuel Schenck, Michael Taylor
We consider the stabilization problem on a manifold with boundary for a wave equation with measure-valued linear damping. For a wide class of measures, containing Dirac masses on h…
Exponential gaps in the length spectrum
Emmanuel Schenck
We present a separation property for the gaps in the length spectrum of a compact Riemannian manifold with negative curvature. In arbitrary small neighborhoods of the metric for so…
Resonances near the real axis for manifolds with hyperbolic trapped sets
Emmanuel Schenck
For manifolds Euclidian at infinity and compact perturbations of the Laplacian, we show that under assumptions involving hyperbolicity of the classical flow on the trapped set and…
From resolvent estimates to damped waves
Hans Christianson, Emmanuel Schenck, András Vasy +1
In this paper we show how to obtain decay estimates for the damped wave equation on a compact manifold without geometric control via knowledge of the dynamics near the un-damped se…
Exponential stabilization without geometric control
Emmanuel Schenck
We present examples of exponential stabilization for the damped wave equation on a compact manifold in situations where the geometric control condition is not satisfied. This follo…
Energy decay for the damped wave equation under a pressure condition
Emmanuel Schenck
We establish the presence of a spectral gap near the real axis for the damped wave equation on a manifold with negative curvature. This results holds under a dynamical condition ex…