Spectral asymptotics for nonselfadjoint harmonic oscillators
Arnaiz, Victor ; Rivière, Gabriel
arXiv, 1812.02022 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2018-12-05
Classification:  Mathematical Physics,  Mathematics - Analysis of PDEs,  Mathematics - Spectral Theory 
@article{1812.02022,
     author = {Arnaiz, Victor and Rivi\`ere, Gabriel},
     title = {Spectral asymptotics for nonselfadjoint harmonic oscillators},
     journal = {arXiv},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1812.02022}
}

Arnaiz, Victor; Rivière, Gabriel. Spectral asymptotics for nonselfadjoint harmonic oscillators. arXiv, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/1812.02022/