Junhee Ryu

activity

20202026

most citedA Sobolev space theory for the Stochastic Partial Differential Equations with space-time non-local operators

2 citations · 3 across the 4 of their papers we have counts for

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math.AP2026

The Neumann problem for stochastic partial differential equations

Kyeong-Hun Kim, Junhee Ryu

In this paper, we study the Neumann problem for second-order stochastic partial differential equations in the half space. The coefficients are random and merely measurable in time.…

math.AP2023

Weighted Sobolev space theory for non-local elliptic and parabolic equations with non-zero exterior condition on $C^{1, 1}$ open sets

Kyeong-Hun Kim, Junhee Ryu

We introduce a weighted Sobolev space theory for the non-local elliptic equation $Δ^{α /2} u = f, x \in O; r_{O^{c}} u = g$ as well as for th…

math.AP2022

Sobolev regularity theory for the non-local elliptic and parabolic equations on $C^{1, 1}$ open sets

Jae-Hwan Choi, Kyeong-Hun Kim, Junhee Ryu

We study the zero exterior problem for the elliptic equation $Δ^{α /2} u - λ u = f, x \in D; u ∣_{D^{c}} = 0$ as well as for the parabolic equation $$ u_t=Δ^{α/2}u+f, \quad t>…

math.AP2020★ 1 cited

An $L_{q} (L_{p})$ -theory for diffusion equations with space-time nonlocal operators

Kyeong-hun Kim, Daehan Park, Junhee Ryu

We present an $L_{q} (L_{p})$ -theory for the equation $\partial_{t}^{α} u = ϕ (Δ) u + f, t > 0, x \in R^{d}; u (0, \cdot) = u_{0} .$ Here $p, q > 1$ , $α \in (0, 1)$ , $\partial…

The Neumann problem for stochastic partial differential equations

Weighted Sobolev space theory for non-local elliptic and parabolic equations with non-zero exterior condition on C1,1 open sets

Sobolev regularity theory for the non-local elliptic and parabolic equations on C1,1 open sets

An Lq​(Lp​)-theory for diffusion equations with space-time nonlocal operators

Weighted Sobolev space theory for non-local elliptic and parabolic equations with non-zero exterior condition on $C^{1, 1}$ open sets

Sobolev regularity theory for the non-local elliptic and parabolic equations on $C^{1, 1}$ open sets

An $L_{q} (L_{p})$ -theory for diffusion equations with space-time nonlocal operators