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math.AP2021
Gradient estimates for Stokes and Navier-Stokes systems with piecewise DMO coefficients
Jongkeun Choi, Hongjie Dong, Longjuan Xu
We study stationary Stokes systems in divergence form with piecewise Dini mean oscillation coefficients and data in a bounded domain containing a finite number of subdomains with $…
math.AP2021
Optimal regularity of mixed Dirichlet-conormal boundary value problems for parabolic operators
Jongkeun Choi, Hongjie Dong, Zongyuan Li
We obtain the regularity of solutions in Sobolev spaces for the mixed Dirichlet-conormal problem for parabolic operators in cylindrical domains with time-dependent separations, whi…