KyeongRo Kim

activity

20152020

most citedAsymptotic behaviors of fundamental solution and its derivatives related to space-time fractional differential equations

16 citations · 27 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.PR2019★ 4 cited

Boundary behavior and interior Hölder regularity of solution to nonlinear stochastic partial differential equations driven by space-time white noise

Beom-seok Han, Kyeong-hun Kim

We present uniqueness and existence in weighted Sobolev spaces of the equation $u_{t} = (a u_{xx} + b u_{x} + c u) + ξ ∣ u ∣^{1 + λ} B ˙, t > 0, x \in (0, 1)$ with initial data $u(…

math.PR2019★ 1 cited

A sharp $L_{p}$ -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^…

math.PR2016

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 $L_{p}$ -theory ( $p \geq 2$ ) for the time-fractional quasi-linear stochastic partial differential equations (SPDEs) of type $$ \partial^α_tu=L(ω,t,x)u+f(u…

Boundary behavior and interior Hölder regularity of solution to nonlinear stochastic partial differential equations driven by space-time white noise

A sharp Lp​-regularity result for second-order stochastic partial differential equations with unbounded and fully degenerate leading coefficients

A Sobolev Space theory for stochastic partial differential equations with time-fractional derivatives

A sharp $L_{p}$ -regularity result for second-order stochastic partial differential equations with unbounded and fully degenerate leading coefficients