Multilinear eigenfunction estimates for the Laplace spectral projectors on compact manifolds
Analysis of PDEs
2007-05-23 v1 Spectral Theory
Abstract
The purpose of this note is to extend to any space dimension the bilinear estimate for eigenfunctions of the Laplace operator on a compact manifold (without boundary) obtained in a previous work in dimension 2. We also give some related trilinear estimates.
Cite
@article{arxiv.math/0310018,
title = {Multilinear eigenfunction estimates for the Laplace spectral projectors on compact manifolds},
author = {N. Burq and P. Gerard and N. Tzvetkov},
journal= {arXiv preprint arXiv:math/0310018},
year = {2007}
}
Comments
6 pages