Barrier-top resonances for non globally analytic potentials
Jean-François Bony
Université de Bordeaux, Talence, FranceSetsuro Fujiié
Ritsumeikan University, Kusatsu, JapanThierry Ramond
Université Paris Sud, Orsay, FranceMaher Zerzeri
Université Paris 13, Villetaneuse, France
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Abstract
We give the semiclassical asymptotic of barrier-top resonances for Schrödinger operators on , , whose potential is everywhere and analytic at infinity. In the globally analytic setting, this has already been obtained in [8, 29]. 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 [4], and its proof follows another approach.
Cite this article
Jean-François Bony, Setsuro Fujiié, Thierry Ramond, Maher Zerzeri, Barrier-top resonances for non globally analytic potentials. J. Spectr. Theory 9 (2019), no. 1, pp. 315–348
DOI 10.4171/JST/249