Multilinear estimates for the Laplace spectral projectors on compact manifolds.

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

zbMATH Keywords

spectral projectionspherical harmonicsbilinear estimatetrilinear estimate

Mathematics Subject Classification ID

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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