Gradient estimates for Stokes systems in domains
Abstract
We study the stationary Stokes system with Dini mean oscillation coefficients in a domain having C1,Dini boundary. We prove that if (u, p) is a weak solution of the system with zero Dirichlet boundary condition, then (Du,p) is continuous up to the boundary. We also prove a weak type-(1,1) estimate for (Du, p).
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