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Estimates for Green functions of Stokes systems in two dimensional domains
Jongkeun Choi, Doyoon Kim
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 pointwis…
Gradient estimates for Stokes systems in domains
Jongkeun Choi, Hongjie Dong
We study the stationary Stokes system with Dini mean oscillation coefficients in a domain having boundary. We prove that if is a weak solution of the sys…
Green functions of conormal derivative problems for stationary Stokes system
Jongkeun Choi, Hongjie Dong, Doyoon Kim
We study Green functions for stationary Stokes systems satisfying the conormal derivative boundary condition. We establish existence, uniqueness, and various estimates for the Gree…
Gradient estimates for Stokes systems with Dini mean oscillation coefficients
Jongkeun Choi, Hongjie Dong
We study the stationary Stokes system in divergence form. The coefficients are assumed to be merely measurable in one direction and have Dini mean oscillations in the other directi…