Semiclassical asymptotics for nonselfadjoint harmonic oscillators
Mathematical Physics
2020-05-27 v2 Analysis of PDEs
math.MP
Spectral Theory
Abstract
We consider nonselfadjoint perturbations of semiclassical harmonic oscillators. Under appropriate dynamical assumptions, we establish some spectral estimates such as upper bounds on the resolvent near the real axis when no geometric control condition is satisfied.
Cite
@article{arxiv.1812.02022,
title = {Semiclassical asymptotics for nonselfadjoint harmonic oscillators},
author = {Victor Arnaiz and Gabriel Rivière},
journal= {arXiv preprint arXiv:1812.02022},
year = {2020}
}