3 papers
math.AP2014
Optimal lower bound of the resonance widths for the Helmholtz Resonator
Martinez André, Nédélec Laurence
Under a geometric assumption on the region near the end of its neck, we prove an optimal exponential lower bound on the widths of resonances for a general two-dimensional Helmholtz…
math.SP2005
Asymptotics of resonances for a schrodinger operator with matrix values
Nedelec Laurence
we obtain the asympotics for the counting function of resonances for a matrix valued schrodinger operator in dimension one.
math.SP2004
Perturbations of non self-adjoint Sturm-Liouville problems, with applications to harmonic oscillators
Nedelec Laurence
We study the behavior of the limit of the spectrum of a non self-adjoint Sturm-Liouville operator with analytic potential as the semi-classical parameter . We get a good de…