activity
20172026
most citedThe Regularity Theory for the Double Obstacle Problem

2 citations · 4 across the 5 of their papers we have counts for

collaborators

6 papers

q-fin.MF2026

Finite-Horizon Reversible Investment under Multi-Factor Dynamics

Junkee Jeon, Takwon Kim, Jinwan Park +1

We study a finite-horizon reversible investment problem in which a risk-neutral firm adjusts capacity at a proportional purchase cost and a lower salvage value under multi-factor g…

math.AP2020

Asymptotic behaviour of singular solution of the fast diffusion equation in the punctured Euclidean space

Kin Ming Hui, Jinwan Park

For , , and , we prove the existence, uniqueness and asymptotics near the origin of the singular eternal self-similar solutions o…

math.AP2018★ 2 cited

The Regularity Theory for the Double Obstacle Problem for Fully Nonlinear Operator

Ki-ahm Lee, Jinwan Park

In this paper, we prove the existence and uniqueness of () solutions of a double obstacle problem with obstacle functions. Moreover, we show the opt…

math.AP2018

Regularity Results of the Thin Obstacle Problem for the -Laplacian

Sun-sig Byun, Ki-ahm Lee, Jehan Oh +1

We study thin obstacle problems involving the energy functional with -growth. We prove higher integrability and Hölder regularity for the gradient of minimizers of the thin o…

math.AP2017

Nondivergence elliptic and parabolic problems with irregular obstacles

Sun-Sig Byun, Ki-Ahm Lee, Jehan Oh +1

We prove the natural weighted Calderón and Zygmund estimates for solutions to elliptic and parabolic obstacle problems in nondivergence form with discontinuous coefficients and irr…

math.AP2017★ 2 cited

The Regularity Theory for the Double Obstacle Problem

Ki-ahm Lee, Jinwan Park, Henrik Shahgholian

In this paper, we prove local regularity of free boundaries for the double obstacle problem with an upper obstacle , \begin{align*} Δu &=fχ_{Ω(u) \cap\{ u< ψ\} }+ Δψχ_{Ω…