17 citations · 54 across the 16 of their papers we have counts for
7 papers · 1 filter
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_…
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…
An -estimate for the stochastic heat equation on an angular domain in
Petru A. Cioica-Licht, Kyeong-Hun Kim, Kijung Lee +1
We prove a weighted -estimate for the stochastic convolution associated to the stochastic heat equation with zero Dirichlet boundary condition on a planar angular domain $\mat…
On the Lq(Lp)-regularity and Besov smoothness of stochastic parabolic equations on bounded Lipschitz domains
Petru A. Cioica, Kyeong-Hun Kim, Kijung Lee +1
We investigate the regularity of linear stochastic parabolic equations with zero Dirichlet boundary condition on bounded Lipschitz domains with both theoretical and…
A -Theory of Stochastic Parabolic Partial Differential Systems on -domains
Kyeong-Hun Kim, Kijung Lee
In this article we present a -theory of stochastic parabolic partial differential systems. In particular, we focus on non-divergent type. The space domains we consider are $…
A -theory of Stochastic Partial Differential Systems of Divergence type on domains
Kyeong-Hun Kim, Kijung Lee
In this paper we study the stochastic partial differential systems of divergence type with space domains in $\bR^d$. Existence and uniqueness results are obtained in terms of…