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arXiv · 1402.4311

Strichartz inequalities for the Schr\"odinger equation with the full Laplacian on H-type groups

Manli Song
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Abstract

In this paper, 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. This extends the results obtained by G. Furioli and A. Veneruso [Studia Math., 2004, 160: 157-178] on the Heisenberg group.

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Manli Song. 2014-02-18. Strichartz inequalities for the Schr\"odinger equation with the full Laplacian on H-type groups. https://arxiv.org/abs/1402.4311

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