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

collaborators

9 papers

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…

math.GT2020

A sequence of algebraic integer relation numbers which converges to 4

Wonyong Jang, KyeongRo Kim

Let $α \in R$ and let $A = [1011] and B_{α} = [1 α 01] .$ The subgroup $G_{α}$ of $\mathrm{SL}_…

math.GT2019

Laminar groups and 3-manifolds

Hyungryul Baik, KyeongRo Kim

Thurston showed that the fundamental group of a close atoroidal 3-manifold admitting a co-oriented taut foliation acts faithfully on the circle by orientation-preserving homeomorph…

math.AP2019★ 2 cited

Weighted $L_{q} (L_{p})$ -estimate with Muckenhoupt weights for the diffusion-wave equations with time-fractional derivatives

Beom-Seok Han, Kyeong-Hun Kim, Daehan Park

We present a weighted $L_{q} (L_{p})$ -theory ( $p, q \in (1, \infty)$ ) with Muckenhoupt weights for the equation $\partial_{t}^{α} u (t, x) = Δ u (t, x) + f (t, x), t > 0, x \in R^{d} .$ …

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^…