Multilinear eigenfunction estimates for the Laplace spectral projectors on compact manifolds

Details Multilinear eigenfunction estimates for the Laplace spectral projectors on compact manifolds Multilinear eigenfunction estimates for the Laplace spectral projectors on compact manifolds

2003-10-02

arxiv.org/abs/math/0310018v1

Mathematics

Analysis of PDEs

6 pages

Scientific paper

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.

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