Barrier-top resonances for non globally analytic potentials
Language
en
Article de revue
This item was published in
Journal of Spectral Theory. 2019, vol. 9, n° 1, p. 315-348
European Mathematical Society
English Abstract
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 ...Read more >
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.Read less <
English Keywords
semiclassical asymptotics
microlocal analysis
hyperbolic fixed point
propagation of singularities
Schrödinger operators
Origin
Hal imported