Sunghoon Kim

activity

20032020

most citedLow-Energy Absorption Cross Section for massive scalar and Dirac fermion by

(4 + n)

-dimensional Schwarzschild Black Hole

43 citations · 137 across the 20 of their papers we have counts for

collaborators

20 papers

math.AP2020

Properties of Generalized Degenerate Parabolic Systems

Sunghoon Kim, Ki-Ahm Lee

In this paper, we consider the solution $u = (u^{1}, \dots, u^{k})$ of the generalized parabolic system \begin{equation*} \left(u^i\right)_t=\nabla\cdot\left(mU^{m-1}\ma…

math.AP2018★ 1 cited

System of Porous Medium Equations

Sunghoon Kim, Ki-Ahm Lee

We investigate the evolution of population density vector, $u = (u^{1}, \dots, u^{k})$ , of $k$ -species whose diffusion is controlled by its absolute value $\left|\bold{u…

math.AP2018

Local Continuity and Asymptotic Behaviour of Degenerate Parabolic Systems

Sunghoon Kim, Ki-Ahm Lee

We study the local Hölder continuity and the asymptotic behaviour of solution, $u = (u^{1}, \dots, u^{k})$ , of the degenerate system \begin{equation*} u^i_t=\nabla\cdot\left(m\,…

math.AP2017★ 2 cited

Existence and large time behaviour of finite points blow-up solutions of the fast diffusion equation

Kin Ming Hui, Sunghoon Kim

Let $Ω \subset R^{n}$ be a smooth bounded domain and let $a_{1}, a_{2}, \dots, a_{i_{0}} \in Ω$ , $Ω = Ω ∖ {a_{1}, a_{2}, \dots, a_{i_{0}}}$ and $\widehat{R^n}=\R^n\setminus\{a_1,a_2,\dots,a…

math.AP2016

Singular limits and properties of solutions of some degenerate elliptic and parabolic equations

Kin Ming Hui, Sunghoon Kim

Let $n \geq 3$ , $0 \leq m < \frac{n - 2}{n}$ , $ρ_{1} > 0$ , $β > β_{0}^{(m)} = \frac{m ρ _{1}}{n - 2 - nm}$ , $α_{m} = \frac{2 β + ρ _{1}}{1 - m}$ and $α = 2 β + ρ_{1}$ . For any $λ > 0$ , we prove the uniqueness of radially symme…

math.AP2015

Hölder regularity and Uniqueness theorem on weak solutions to the degenerate Keller-Segel system

Sunghoon Kim, Ki-Ahm Lee

In this paper, we present local Hölder estimates for the degenerate Keller-Segel system \eqref{eq-cases-aligned-main-problem-of-Keller-Segel-System} below in the range of $m > 1$ and…