Strichartz Inequalities for the Wave Equation with the Full Laplacian on the Heisenberg Group
Printed: Dec 2007
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
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.
nilpotent and solvable Lie groups, smoothness and regularity of solutions of PDEs
22E25 - Nilpotent and solvable Lie groups
35B65 - Smoothness and regularity of solutions