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تسجيل مستخدم جديدGradient estimates for Stokes systems in domains
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We study the stationary Stokes system with Dini mean oscillation coefficients in a domain having $C^{1,rm{Dini}}$ 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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