%0 Journal Article
%T Strichartz inequalities for the Schr£żdinger equation with the full Laplacian on H-type groups
%A Heping Liu
%A Manli Song
%J Mathematics
%D 2014
%I arXiv
%X We prove the dispersive estimates and Strichartz inequalities for the solution of the Schr\"{o}dinger 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. Let $p$ be the dimension of the center on those groups and we assume that $p>1$. This requires a careful analysis due also to the non-homogeneous nature of the full Laplacian.
%U http://arxiv.org/abs/1402.4311v3