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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4 papers · 1 filter

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.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.AP2015★ 16 cited

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

Kyeong-Hun Kim, Sungbin Lim

Let $p (t, x)$ be the fundamental solution to the problem $\partial_{t}^{α} u = - (- Δ)^{β} u, α \in (0, 2), β \in (0, \infty) .$ In this paper we provide the asymptotic behaviors and…

math.AP2015★ 3 cited

An $L_{q} (L_{p})$ -theory for parabolic pseudo-differential equations: Calderón-Zygmund approach

Ildoo Kim, Kyeong-Hun Kim, Sungbin Lim

In this paper we present a Calderón-Zygmund approach for a large class of parabolic equations with pseudo-differential operators $A (t)$ of arbitrary order $γ\in(0,\infty)…

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

Weighted Lq​(Lp​)-estimate with Muckenhoupt weights for the diffusion-wave equations with time-fractional derivatives

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

An Lq​(Lp​)-theory for parabolic pseudo-differential equations: Calderón-Zygmund approach

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

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

An $L_{q} (L_{p})$ -theory for parabolic pseudo-differential equations: Calderón-Zygmund approach