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arXiv 1608.07784math.FA
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H-型群上分数阶wave equations的衰减估计

Decay estimates for fractional wave equations on H-type groups

Manli Song

摘要:

本文的目的是建立由$e^{itΔ^α}$,$0<α<1$给出的H型群上分数阶波动方程半群的衰减估计.结合色散估计和标准的对偶论证,我们还得到了相应的Schlhartz不等式。

英文摘要:

The aim of this paper is to establish the decay estimate for the fractional wave equation semigroup on H-type groups given by $e^{itΔ^α}$, $0<α<1$. Combing the dispersive estimate and a standard duality argument, we also derive the corresponding Strichartz inequalties.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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