Nous montrons que les solutions de l'équation des ondes homogène sur des espaces symétriques riemanniens possèdent des propriétés de dispersion et nous déduisons des estimations de type Strichartz pour ces solutions.
We prove that the solutions of the homogeneous wave equation on Riemannian symmetric spaces have dispersion properties and we deduce Strichartz type estimates for these solutions.
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@article{CRMATH_2009__347_13-14_725_0,
author = {Hassani, Ali},
title = {\'Equation des ondes sur les espaces sym\'etriques riemanniens},
journal = {Comptes Rendus. Math\'ematique},
pages = {725--728},
publisher = {Elsevier},
volume = {347},
number = {13-14},
year = {2009},
doi = {10.1016/j.crma.2009.04.031},
language = {fr},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2009.04.031/}
}
TY - JOUR AU - Hassani, Ali TI - Équation des ondes sur les espaces symétriques riemanniens JO - Comptes Rendus. Mathématique PY - 2009 SP - 725 EP - 728 VL - 347 IS - 13-14 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2009.04.031/ DO - 10.1016/j.crma.2009.04.031 LA - fr ID - CRMATH_2009__347_13-14_725_0 ER -
%0 Journal Article %A Hassani, Ali %T Équation des ondes sur les espaces symétriques riemanniens %J Comptes Rendus. Mathématique %D 2009 %P 725-728 %V 347 %N 13-14 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2009.04.031/ %R 10.1016/j.crma.2009.04.031 %G fr %F CRMATH_2009__347_13-14_725_0
Hassani, Ali. Équation des ondes sur les espaces symétriques riemanniens. Comptes Rendus. Mathématique, Tome 347 (2009) no. 13-14, pp. 725-728. doi : 10.1016/j.crma.2009.04.031. http://archive.numdam.org/articles/10.1016/j.crma.2009.04.031/
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