20 citations · 72 across the 21 of their papers we have counts for
21 papers
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces
Doyoon Kim, Kyeong-Hun Kim, Kwan Woo
We present weighted Sobolev spaces and prove a trace theorem for the spaces. As an application, we discuss non-zero boundary value problems for parabolic equations. The weighted pa…
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…
Sobolev space theory and Hölder estimates for the stochastic partial differential equations on conic and polygonal domains
Kyeong-Hun Kim, Kijung lee, Jinsol Seo
We establish existence, uniqueness, and Sobolev and Hölder regularity results for the stochastic partial differential equation $$ du=\left(\sum_{i,j=1}^d a^{ij}u_{x^ix^j}+f^0+\sum_…
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…
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…