严格凸区域内wave equation的色散I：Friedlander模型情形
Dispersion for the wave equation inside strictly convex domains I: the Friedlander model case
摘要：
考虑一个具有光滑边界的$d\geq 2$维严格凸区域的模型情形，并描述了具有Dirichlet边界条件的波动方程的色散.更具体地说，我们获得了最佳的固定时间衰减率的平滑的格林函数：一个$t^{1/4}$损失发生相对于无边界的情况下，由于重复发生燕尾型奇点的波前集。
英文摘要：
We consider a model case for a strictly convex domain of dimension $d\geq 2$ with smooth boundary and we describe dispersion for the wave equation with Dirichlet boundary conditions. More specifically, we obtain the optimal fixed time decay rate for the smoothed out Green function: a $t^{1/4}$ loss occurs with respect to the boundary less case, due to repeated occurrences of swallowtail type singularities in the wave front set.
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。
