Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups

الملخص EN

We generalize the dispersive estimates and Strichartz inequalities for the solution of the wave equation related to the full Laplacian on H-type groups, by means of Besov spaces defined by a Littlewood-Paley decomposition related to the spectral of the full Laplacian.

The dimension of the center on those groups is p and we assume that p>1.

A key point consists in estimating the decay in time of the L∞ norm of the free solution.

This requires a careful analysis due also to the nonhomogeneous nature of the full Laplacian.