Barrier-top resonances for non globally analytic potentials

  • Jean-François Bony

    Université de Bordeaux, Talence, France
  • Setsuro Fujiié

    Ritsumeikan University, Kusatsu, Japan
  • Thierry Ramond

    Université Paris Sud, Orsay, France
  • Maher 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