Weighted mixed norm estimates for fractional wave equations with VMO coefficients
Weighted mixed norm estimates for fractional wave equations with VMO coefficients
复制标题
DOI：
10.1016/j.jde.2022.07.040
复制
发表时间：
2021-02
影响因子：
2.4
通讯作者：
Hongjie Dong;Yanze Liu
中科院分区：
文献类型：
--
作者：
Hongjie Dong;Yanze Liu
本文研究了α∈（1，2）阶时间分数阶波动方程在全空间、半空间和圆柱区域上的Lp估计.当小圆柱中的首项系数具有小的平均振动时，我们得到了非发散型和发散型方程的加权混合范数估计和可解性。
This paper is a comprehensive study of L p estimates for time fractional wave equations of order α∈(1, 2) in the whole space, a half space, or a cylindrical domain. We obtain weighted mixed-norm estimates and solvability of the equations in both non-divergence form and divergence form when the leading coefficients have small mean oscillation in small cylinders.