23 citations · 157 across the 57 of their papers we have counts for
6 papers · 1 filter
The viscosity Method for the Homogenization of soft inclusions
Ki-ahm Lee, Minha Yoo
In this paper, we consider periodic soft inclusions with periodicity , where the solution, , satisfies semi-linear elliptic equations of non-divergence in $Ω_ε=Ω\setm…
Regularity results for fully nonlinear parabolic integro-differential operators
Yong-Cheol Kim, Ki-Ahm Lee
In this paper, we consider the regularity theory for fully nonlinear parabolic integro-differential equations with symmetric kernels. We are able to find parabolic versions of Alex…
α-Gauss Curvature flows with flat sides
Lami Kim, Ki-ahm Lee, Eunjai Rhee
In this paper, we study the deformation of the 2 dimensional convex surfaces in whose speed at a point on the surface is proportional to -power of positive part of Gaus…
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…
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 in the range of exponents $(\frac{n-2σ}…
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}\…