Abstract: We prove some local energy decay for a damped wave equation on R^d endowed
with an asymptotically euclidean metric. The result relies on uniform
resolvent estimates for a non-selfadjoint Schrödinger operator. I will
present a dissipative version for Mourre's commutators method and show how
it can be applied to obtain the resolvent estimates we need. In this talk I
will mainly focus on low frequencies.