2016/10/20 by Bony, Jean-Francois, Fujiie, Setsuro, Ramond, Thierry +1
#35B34 #35J10 #35P20 #35S10 #37C25 #81Q20 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
paper · doi:10.48550/arxiv.1610.06384
We give the semiclassical asymptotic of barrier-top resonances for Schrödinger operators on \mathbb Rn, n ≥ 1, whose potential is C∞ everywhere and analytic at infinity. In the globally analytic setting, this has already been obtained. 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 the same authors, and its proof follows another approach.