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Semiclassical asymptotics
for nonselfadjoint harmonic oscillators
Víctor Arnaiz and Gabriel Rivière |
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Vol. 2 (2020), No. 2, 427–445
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Abstract |
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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. |
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Keywords
semiclassical analysis, nonselfadjoint operators, resolvent
estimates, integrable systems, averaging method
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Mathematical Subject Classification 2010
Primary: 35P20
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Milestones
Received: 27 July 2019
Revised: 21 October 2019
Accepted: 19 November 2019
Published: 22 May 2020
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Authors |
| Víctor Arnaiz | |
| Université Paris-Saclay CNRS, Laboratoire de mathématiques d’Orsay Orsay France |
Instituto de Ciencias Matemáticas
(ICMAT) Campus de Cantoblanco, UAM Madrid Spain |
| Gabriel Rivière | |
| Laboratoire de mathématiques Jean
Leray (UMR CNRS 6629) Université de Nantes Nantes France |
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