Special Session 123: New trends in elliptic and parabolic PDEs

The Stokes System on Convex Domains

Jun Geng
Lanzhou University
Peoples Rep of China
Co-Author(s):    Zhongwei Shen
Abstract:
We investigate the Neumann problem for Stokes system on convex domain $\Omega$. The $L^p$ solvability and $W^{1,p}$ solvability are obtained for certain ranges of $p$. The ranges of $p$ are sharp for $d=2$ and these intervals are larger than the known interval on Lipschitz domain.