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

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

2005-02-23

arxiv.org/abs/math/0502497v1

Mathematics

Analysis of PDEs

22 pages, 1 figure

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Strichartz inequalities for the wave equation with the full Laplacian on the Heisenberg group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Strichartz inequalities for the wave equation with the full Laplacian on the Heisenberg group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strichartz inequalities for the wave equation with the full Laplacian on the Heisenberg group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-235504