The quantization of normal velocity does not concentrate on hypersurfaces
From MaRDI portal
Publication:4603830
DOI10.1080/03605302.2017.1390676zbMath1382.35348arXiv1403.6575OpenAlexW2964186802MaRDI QIDQ4603830
Publication date: 19 February 2018
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.6575
pseudodifferential operatorssemiclassical analysisquantum-classical correspondencerestriction to hypersurfaces
Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Fourier integral operators applied to PDEs (35S30)
Related Items
Comparable upper and lower bounds for boundary values of Neumann eigenfunctions and tight inclusion of eigenvalues, Eigenfunction restriction estimates for curves with nonvanishing geodesic curvatures in compact Riemannian surfaces with nonpositive curvature, MATRIX-MFO tandem workshop/small collaboration: Rough wave equations. Abstracts from the MATRIX-MFO tandem workshop/small collaboration held September 12--18, 2021 (hybrid meeting), Control from an interior hypersurface, A sharp relative-error bound for the Helmholtz \(h\)-FEM at high frequency
Cites Work
- Unnamed Item
- Unnamed Item
- Semiclassical \(L^p\) estimates of quasimodes on curved hypersurfaces
- Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions
- Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds
- Ergodic properties of eigenfunctions for the Dirichlet problem
- Erratum to: ``Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions
- Darstellung der Eigenwerte von \(\Delta u+\lambda u=0\) durch ein Randintegral
- TheL2behavior of eigenfunctions near the glancing set
- Lp norm estimates of eigenfunctions restricted to submanifolds
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Fourier integral operators with fold singularities.
- Oscillatory integrals associated to folding canonical relations
- SemiclassicalLpEstimates of Quasimodes on Submanifolds
- Exterior Mass Estimates and L2-Restriction Bounds for Neumann Data Along Hypersurfaces