Kyeong-Hun Kim

most citedAn

L^{p}

-theory of non-divergence form SPDEs driven by Lévy processes

5 citations · 6 across the 5 of their papers we have counts for

collaborators

6 papers

math.PR2011★ 2 cited

A $W_{2}^{n}$ -Theory of Stochastic Parabolic Partial Differential Systems on $C^{1}$ -domains

Kyeong-Hun Kim, Kijung Lee

In this article we present a $W_{2}^{n}$ -theory of stochastic parabolic partial differential systems. In particular, we focus on non-divergent type. The space domains we consider are $…

math.PR2010

An $L^{2}$ -theory on SPDE driven by Lévy processes

Zhen-Qing Chen, Kyeong-Hun Kim

In this paper we develop an $L_{2}$ -theory for stochastic partial differential equations driven by Lévy processes. The coefficients of the equations are random functions depending on…

math.PR2010

A $W_{2}^{1}$ -theory of Stochastic Partial Differential Systems of Divergence type on $C^{1}$ domains

Kyeong-Hun Kim, Kijung Lee

In this paper we study the stochastic partial differential systems of divergence type with $C^{1}$ space domains in $\bR^d$. Existence and uniqueness results are obtained in terms of…

math.AP2010

A $W_{2}^{n}$ -Theory of Elliptic and Parabolic Partial Differential Systems in $C^{1}$ domains

Kyeong-Hun Kim, Kijung Lee

In this paper second-order elliptic and parabolic partial differential systems are considered on $C^{1}$ domains. Existence and uniqueness results are obtained in terms of Sobolev sp…

math.PR2010★ 5 cited

An $L^{p}$ -theory of non-divergence form SPDEs driven by Lévy processes

Zhen-Qing Chen, Kyeong-Hun Kim

In this paper we present an $L^{p}$ -theory for the stochastic partial differential equations (SPDEs in abbreciation) driven by Lé{}vy processes. Existence and uniqueness of solutions…

math.FA2010★ 1 cited

A generalization of the Littlewood-Paley inequality for the fractional Laplacian $(- Δ)^{α /2}$

Ildoo Kim, Kyeong-Hun Kim

We prove a parabolic version of the Littlewood-Paley inequality for the fractional Laplacian $(- Δ)^{α /2}$ , where $α \in (0, 2)$ .

A W2n​-Theory of Stochastic Parabolic Partial Differential Systems on C1-domains

An L2-theory on SPDE driven by Lévy processes

A W21​-theory of Stochastic Partial Differential Systems of Divergence type on C1 domains

A W2n​-Theory of Elliptic and Parabolic Partial Differential Systems in C1 domains

An Lp-theory of non-divergence form SPDEs driven by Lévy processes

A generalization of the Littlewood-Paley inequality for the fractional Laplacian (−Δ)α/2

A $W_{2}^{n}$ -Theory of Stochastic Parabolic Partial Differential Systems on $C^{1}$ -domains

An $L^{2}$ -theory on SPDE driven by Lévy processes

A $W_{2}^{1}$ -theory of Stochastic Partial Differential Systems of Divergence type on $C^{1}$ domains

A $W_{2}^{n}$ -Theory of Elliptic and Parabolic Partial Differential Systems in $C^{1}$ domains

An $L^{p}$ -theory of non-divergence form SPDEs driven by Lévy processes

A generalization of the Littlewood-Paley inequality for the fractional Laplacian $(- Δ)^{α /2}$