论文标题
圆柱体外的波动的分散估计] {$ \ m athbb {r}^3 $的圆柱体外的波动方程的分散估计值
Dispersion estimates for the wave equation outside of a cylinder]{Dispersive estimates for the wave equation outside a cylinder in $\mathbb{R}^3$
论文作者
论文摘要
我们考虑了r 3中圆柱体外部的dirichlet边界条件的波方程,我们构建了一个全球时间参数,以得出所有频率(低和高)的尖锐分散估计,作为推论的strichartz估计,所有频率的估计都与R 3情况匹配。
We consider the wave equation with Dirichlet boundary conditions in the exterior of a cylinder in R 3 and we construct a global in time parametrix to derive sharp dispersion estimates for all frequencies (low and high) and, as a corollary, Strichartz estimates, all matching the R 3 case.