32 citations · 73 across the 12 of their papers we have counts for
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An -maximal regularity estimate of moments of solutions to second-order stochastic partial differential equations
Ildoo Kim
We obtain uniqueness and existence of a solution to the following second-order stochastic partial differential equation (SPDE) : \begin{align} \label{abs eqn} du= \left( \bar a…
A sharp -regularity result for second-order stochastic partial differential equations with unbounded and fully degenerate leading coefficients
Ildoo Kim, Kyeong-hun Kim
We present existence, uniqueness, and sharp regularity results of solution to the stochastic partial differential equation (SPDE) \begin{align} \label{abs eqn} du=(a^{ij}(ω,t)u_{x^…
A regularity theory for quasi-linear Stochastic Partial Differential Equations in weighted Sobolev spaces
Ildoo Kim, Kyeong-hun Kim
We study the second-order quasi-linear stochastic partial differential equations (SPDEs) defined on domains. The coefficients are random functions depending on and the…
A Sobolev Space theory for stochastic partial differential equations with time-fractional derivatives
Ildoo Kim, Kyeong-Hun Kim, Sungbin Lim
In this article we present an -theory () for the time-fractional quasi-linear stochastic partial differential equations (SPDEs) of type $$ \partial^α_tu=L(ω,t,x)u+f(u…