2 citations · 3 across the 4 of their papers we have counts for
5 papers
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.…
Weighted Sobolev space theory for non-local elliptic and parabolic equations with non-zero exterior condition on open sets
Kyeong-Hun Kim, Junhee Ryu
We introduce a weighted Sobolev space theory for the non-local elliptic equation as well as for th…
Sobolev regularity theory for the non-local elliptic and parabolic equations on open sets
Jae-Hwan Choi, Kyeong-Hun Kim, Junhee Ryu
We study the zero exterior problem for the elliptic equation as well as for the parabolic equation $$ u_t=Δ^{α/2}u+f, \quad t>…
A Sobolev space theory for the Stochastic Partial Differential Equations with space-time non-local operators
Kyeong-Hun Kim, Daehan Park, Junhee Ryu
We deal with the Sobolev space theory for the stochastic partial differential equation (SPDE) driven by Wiener processes $$ \partial_{t}^αu=\left( ϕ(Δ) u +f(u) \right) + \partial_t…
An -theory for diffusion equations with space-time nonlocal operators
Kyeong-hun Kim, Daehan Park, Junhee Ryu
We present an -theory for the equation Here , , $\partial…