Barrier-top resonances for non globally analytic potentials
Résumé
We give the semiclassical asymptotic of barrier-top resonances for Schrödinger operators on R n , n ≥ 1, whose potential is C ∞ everywhere and analytic at infinity. In the globally analytic setting, this has already been obtained in [6, 24]. Our proof is based on a propagation of singularities theorem at a hyperbolic fixed point that we establish here. This last result refines a theorem of [3], and its proof follows another approach.
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