Strichartz inequalities for the wave equation with the full Laplacian on the Heisenberg group

被引：9
作者：
Furioli, Giulia
Melzi, Camillo
Veneruso, Alessandro
机构：
[1] Univ Bergamo, Dipartimento Ingn Gest & Informaz, I-24044 Dalmine, BG, Italy
[2] Univ Insubria, Dipartimento Sci Chim Fis & Matemat, I-22100 Como, Italy
[3] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2007年 / 59卷 / 06期
关键词：
D O I：
10.4153/CJM-2007-056-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove dispersive and Strichartz inequalities for the solution of the wave equation related to the full Laplacian on the Heisenberg group, by means of Besov spaces defined by a Littlewood-Paley decomposition related to the spectral resolution of the full Laplacian. This requires a careful analysis due also to the non-homogeneous nature of the full Laplacian. This result has to be compared to a previous one by Bahouri, Gerard and Xu concerning the solution of the wave equation related to the Kohn Laplacian.
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页码：1301 / 1322
页数：22
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