Estimates for Green functions of Stokes systems in two dimensional domains
arXiv:1809.07119 · doi:10.1016/j.jmaa.2018.10.067
Abstract
We prove the existence and pointwise bounds of the Green functions for stationary Stokes systems with measurable coefficients in two dimensional domains. We also establish pointwise bounds of the derivatives of the Green functions under a regularity assumption on the -mean oscillations of the coefficients.
minor revision; accepted in Journal of Mathematical Analysis and Applications