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math.AP2018★ 1 cited
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…
math.PR2018★ 15 cited
On the regularity of the stochastic heat equation on polygonal domains in
Petru A. Cioica-Licht, Kyeong-Hun Kim, Kijung Lee
We establish existence, uniqueness and higher order weighted -Sobolev regularity for the stochastic heat equation with zero Dirichlet boundary condition on angular domains and…