Semiclassical second microlocal propagation of regularity and integrable systems

DOI10.1007/s11854-009-0020-5zbMath1187.58025arXiv0801.0826OpenAlexW2023881035MaRDI QIDQ1031820

Jared Wunsch, András Vasy

Publication date: 2 November 2009

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.0826

zbMATH Keywords

quantizationpseudodifferential operatorssubprincipal symbolLagrangian distributioncompletely integrable classical Hamiltonianpropagation theorem

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Variational methods for higher-order elliptic equations (35J35)

Related Items

Two-microlocal regularity of quasimodes on the torus ⋮ Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach ⋮ Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach ⋮ Non-Concentration of Quasimodes for Integrable Systems ⋮ Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces ⋮ Erratum to: ``Semiclassical second microlocal propagation of regularity and integrable systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractal upper bounds on the density of semiclassical resonances
• Propagation of singularities for the wave equation on edge manifolds
• Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions. I
• An accuracy improvement in Egorov's theorem
• Spreading of Lagrangian regularity on rational invariant tori
• On the existence and the regularity of solutions of linear pseudo- differential equations
• Fourier integral operators. II
• Perturbations of the spherical pendulum and Abelian integrals.
• Semi-Classical Wavefront Set and Fourier Integral Operators
• Elliptic theory of differential edge operators I
• An introduction to semiclassical and microlocal analysis