发布时间:2019-04-12
 题目：Laplace and Stokes equations in a domain with a shrinking hole 报告人：Dr. Yong Lv, Professor(Nanjing University) (吕勇，南京大学，博导，教授） 时间：2019年4月26日（周五）下午16:00-17:00 地点：应用数理学院应用数学研究所2315 摘要：In this talk, we consider the Dirichlet problem of the Laplace and Stokes equations in a domain with a shrinking hole in $R^d, \ d\geq 2$. A typical observation is that, the Lipschitz norm of the domain goes to infinity as the size of the hole goes to zero. Thus, if $p\neq 2$, the classical results indicate that the $W^{1,p}$ estimate of the solution may go to infinity as the size of the hole tends to zero. We give a complete description for the uniform $W^{1,p}$ estimates of the solution for all \$1