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arXiv:1402.4311 [math.AP]AbstractReferencesReviewsResources

Strichartz inequalities for the Schrödinger equation with the full Laplacian on H-type groups

Heping Liu, Manli Song

Published 2014-02-18, updated 2015-03-12Version 3

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.

Categories: math.AP
Subjects: 22E25, 33C45, 35B65, 35J05
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