H-型群上分数阶wave equations的衰减估计
Decay estimates for fractional wave equations on H-type groups
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.
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