Local Calderon-Zygmund estimates for parabolic equations in weighted Lebesgue spaces
MATHEMATICS IN ENGINEERING(2023)
摘要
We prove local Calderon-Zygmund type estimates for the gradient of weak solutions to degenerate or singular parabolic equations of p-Laplacian type with p > 2n/n+2 in weighted Lebesgue spaces L-w(q). We introduce a new condition on the weight w which depends on the intrinsic geometry concerned with the parabolic p-Laplace problems. Our condition is weaker than the one in [13], where similar estimates were obtained. In particular, in the case p = 2, it is the same as the condition of the usual parabolic A(q) weight.
更多查看译文
关键词
parabolic equation,p-Laplacian,Calderon-Zygmund estimate,weighted Lebesgue space
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要