Multilinear estimates for the Laplace spectral projectors on compact manifolds.
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Publication:1426621
DOI10.1016/j.crma.2003.12.015zbMath1040.58011OpenAlexW1994976747MaRDI QIDQ1426621
Nicolas Burq, Patrick Gérard, Nickolay Tzvetkov
Publication date: 15 March 2004
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2003.12.015
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spherical harmonics (33C55)
Related Items (8)
Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation ⋮ Approximating pointwise products of quasimodes ⋮ Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations ⋮ Nonlinear Schrödinger equation on four-dimensional compact manifolds ⋮ Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds ⋮ Sharp endpoint estimates for eigenfunctions restricted to submanifolds of codimension 2 ⋮ \(L^p\) bilinear quasimode estimates ⋮ Approximating pointwise products of Laplacian eigenfunctions
Cites Work
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- Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces
- Oscillatory integrals and spherical harmonics
- Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds
- Oscillatory integrals and multipliers on FL\(^p\)
- Riemannian geometry
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