Optimal dispersive estimates for the wave equation with $C^{n-3-2}$ potentials in dimensions $4le nle 7$ - Mathematics > Analysis of PDEsReport as inadecuate




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Abstract: We prove optimal dispersive estimates for the wave group$e^{it\sqrt{-\Delta+V}}$ for a class of real-valued potentials $V\inC^{n-3-2}{\bf R}^n$, $4\le n\le 7$, such that $\partial x^\alphaVx=O|x|^{-\delta}$ for $|x|>1$, where $\delta>n+1-2$.



Author: Fernando Cardoso, Georgi Vodev

Source: https://arxiv.org/







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