116 citations · 577 across the 41 of their papers we have counts for
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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…
Parabolic Systems with measurable coefficients in weighted Sobolev spaces
Doyoon Kim, Kyeong-Hun Kim, Kijung Lee
In this paper we present a weighted -theory of parabolic systems on a half space. The leading coefficients are assumed to be only measurable in and have small bounded mean…
-estimates for time fractional parabolic equations with coefficients measurable in time
Hongjie Dong, Doyoon Kim
We establish the -solvability for time fractional parabolic equations when coefficients are merely measurable in the time variable. In the spatial variables, the leading coeff…
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…