Stokes System & Uniform Trace for BMO-Q

 13 August 2019
 Mathematics - Research News

Jie Xiao, Dachun Yang, Junjie Zhang, Yuan Zhou. Source: Advances in Differential Equations, Volume 24, Number 9/10, 501--530.Abstract:
This paper shows a Liouville-type law for the incompressible Stokes system and a trace principle over the uniform domains for the BMO-Q spaces $(-\Delta)^{-\frac{\alpha}{2}}\mathscr{L}^{2,2\alpha} (\mathbb R^{n})$ with $(\alpha,n-1)\in [0,1)\times\mathbb N$.