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

Showing 2011Show all

4 papers · 1 filter

math.AP2011

Large time behaviour of higher dimensional logarithmic diffusion equation

Kin Ming Hui, Sunghoon Kim

Let $n \geq 3$ and $ψ_{λ_{0}}$ be the radially symmetric solution of $Δ lo g ψ + 2 β ψ + β x \cdot \nabla ψ = 0$ in $R^{n}$ , $ψ (0) = λ_{0}$ , for some constants $λ_{0} > 0$ , $β > 0$ . Suppose $u_{0} \geq 0$ satisfies…

math.AP2011

Viscosity method for Homogenization of Parabolic Nonlinear Equations in Perforated Domains

Sunghoon Kim, Ki-Ahm Lee

In this paper, we develop a viscosity method for Homogenization of Nonlinear Parabolic Equations constrained by highly oscillating obstacles or Dirichlet data in perforated domains…

math.AP2011★ 2 cited

Hölder Estimates for Singular Non-local Parabolic Equations

Sunghoon Kim, Ki-Ahm Lee

In this paper, we establish local Hölder estimate for non-negative solutions of the singular equation \eqref{eq-nlocal-PME-1} below, for $m$ in the range of exponents $(\frac{n-2σ}…

math.AP2011★ 10 cited

Geometric property of the Ground State Eigenfunction for Cauchy Process

Sunghoon Kim, Ki-Ahm Lee

We consider the asymptotic behavior of nonlinear nonlocal flows $u_t+(-\La)^{1/2}u=0$ to find the geometric property of the solutions in nonlinear eigenvalue problem: (-\La)^{1/2}\…