Decay estimates for fractional wave equations on H-type groups

Manli Song

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arXiv · 1608.07784

Decay estimates for fractional wave equations on H-type groups

Manli Song

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Abstract

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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BibTeX RIS

Manli Song. 2016-08-28. Decay estimates for fractional wave equations on H-type groups. https://arxiv.org/abs/1608.07784

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