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arxiv: 1608.07784 · v1 · pith:LZQI6O6Wnew · submitted 2016-08-28 · 🧮 math.FA

Decay estimates for fractional wave equations on H-type groups

classification 🧮 math.FA
keywords alphadecayestimatefractionalgroupsh-typewaveargument
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The aim of this paper is to establish the decay estimate for the fractional wave equation semigroup on H-type groups given by $e^{it\Delta^\alpha}$, $0<\alpha<1$. Combing the dispersive estimate and a standard duality argument, we also derive the corresponding Strichartz inequalties.

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