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math-ph2009★ 35 cited
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…
math-ph2008★ 9 cited
Weyl laws for partially open quantum maps
Emmanuel Schenck
We study a toy model for "partially open" wave-mechanical system, like for instance a dielectric micro-cavity, in the semiclassical limit where ray dynamics is applicable. Our mode…