KyeongRo Kim

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20152023

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

16 citations · 27 across the 9 of their papers we have counts for

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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)…

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 parabolic pseudo-differential equations: Calderón-Zygmund approach