Bibliographic Details
| Title: |
Multilinear estimates for the Laplace spectral projectors on compact manifolds |
| Alternate Title: |
Estime´es multiline´aires pour les projecteurs spectraux du laplacien sur les varie´te´s compactes |
| Authors: |
Burq, Nicolas1 nicolas.burq@math.u-psud.fr, Gérard, Patrick1 Patrick.gerard@math.u-psud.fr, Tzvetkov, Nikolay1 nikolay.tzvetkov@math.u-psud.fr |
| Source: |
Comptes Rendus. Mathématique. Mar2004, Vol. 338 Issue 5, p359. 6p. |
| Subjects: |
Eigenfunctions, Numerical solutions to integral equations, Numerical solutions to boundary value problems, Numerical solutions to differential equations, Harmonic functions |
| Abstract (English): |
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 by the authors (preprint: http://www.arxiv.org/abs/math/0308214) in dimension 2. We also give some related trilinear estimates. To cite this article: N. Burq et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004). [Copyright &y& Elsevier] |
| Abstract (French): |
L'objet de cette Note est de ge´ne´raliser a` toute dimension d'espace les estimations biline´aires de projecteurs spectraux de l'ope´rateur de Laplace sur une varie´te´ compacte (sans bord), de´montre´es par les auteurs (preprint : http://www.arxiv.org/abs/math/0308214) en dimension 2. On e´nonce aussi des estimations triline´aires. Pour citer cet article : N. Burq et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004). [Copyright 2004 Elsevier] |
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| Database: |
Engineering Source |
