| Abstract: |
| We study stationary Stokes systems in non-divergence form with DMO coefficients and data. We prove that if $(u, p)$ is a strong solution of the system, then $(D^2u, \nabla p)$ is continuous. The corresponding boundary regularity result on a $C^{2, \rm Dini}$ domain is also established. To this end, we introduce the adjoint system associated with the non-divergence form Stokes system, which is formulated in double divergence form. |
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