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arxiv: 1402.4311 · v4 · pith:CZXR2GXPnew · submitted 2014-02-18 · 🧮 math.AP

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

classification 🧮 math.AP
keywords equationfullgroupsh-typeinequalitieslaplacianschrstrichartz
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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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