17 citations · 54 across the 16 of their papers we have counts for
6 papers · 1 filter
Green's function estimates for time measurable parabolic operators on polyhedrons and polyhedral cones
Kyeong-Hun Kim, Kijung Lee, Jinsol Seo
We provide Green's function estimates for parabolic operators on polyhedrons and polyhedral cones in . These estimates incorporate mixed weights, which include approp…
A weighted Sobolev regularity theory of the parabolic equations with measurable coefficients on conic domains in
Kyeonghun Kim, Kijung Lee, Jinsol Seo
We establish existence, uniqueness, and arbitrary order Sobolev regularity results for the second order parabolic equations with measurable coefficients defined on the conic domain…
A refined Green's function estimate of the time measurable parabolic operators with conic domains
Kyeong-Hun Kim, Kijung Lee, Jinsol Seo
We present a refined Green's function estimate of the time measurable parabolic operators on conic domains that involves mixed weights consisting of appropriate powers of the dista…
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…
A weighted -theory for second-order elliptic and parabolic partial differential systems on a half space
Kyeong-Hun Kim, Kijung Lee
In this paper we develop a Fefferman-Stein theorem, a Hardy-Littlewood theorem and sharp function estimations in weighted Sobolev spaces. We also provide uniqueness and existence r…
On Initial-Boundary Value Problem of Stochastic Heat Equation in a Lipschitz Cylinder
Tongkeun Chang, Kijung Lee, Minsuk Yang
We consider the initial boundary value problem of non-homogeneous stochastic heat equation. The derivative of the solution with respect to time receives heavy random perturbation.…