Quasimode constructions for perturbed completely integrable systems

Lundi 24 février 14:00-15:00 - Victor Arnaiz - LMO

Résumé : In this talk, I will present new results concerning the contruction of quasimodes for perturbed semiclassical harmonic oscillators that exhibit sharp concentration properties. In particular, in the selfadjoint case, we show the existence of quasimodes that concentrate on sets that are invariant by two commuting flows obtained from the perturbation of the system. In the non-selfadjoint case, we test some resolvent estimates near the real axis when no geometric control condition is satisfied. This talk is based on joint works with Fabricio Macià and Gabriel Rivière.

Lieu : IMO ; salle 3L8.

Quasimode constructions for perturbed completely integrable systems  Version PDF