arXiv Analytics

Sign in

arXiv:math/0502497 [math.AP]AbstractReferencesReviewsResources

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

Giulia Furioli, Camillo Melzi, Alessandro Veneruso

Published 2005-02-23Version 1

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, G\'erard and Xu concerning the solution of the wave equation related to the Kohn-Laplacian.

Comments: 22 pages, 1 figure
Categories: math.AP, math.CA
Subjects: 22E25, 35B65
Related articles: Most relevant | Search more
arXiv:1402.4311 [math.AP] (Published 2014-02-18, updated 2015-03-12)
Strichartz inequalities for the Schrödinger equation with the full Laplacian on H-type groups
arXiv:math/0609804 [math.AP] (Published 2006-09-28)
Analytic hypoellipticity for $\square_b + c$ on the Heisenberg group: an $L^2$ approach
arXiv:2305.01441 [math.AP] (Published 2023-05-02)
Homogeneous Sobolev and Besov spaces on special Lipschitz domains and their traces

Links

Toolbox