Ki-ahm Lee

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20232025

most citedGeneralized Schauder Theory and its Application to Degenerate/Singular Parabolic Equations

1 citations · 1 across the 5 of their papers we have counts for

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math.AP2023

Boundary Regularity for viscosity solutions of Fully nonlinear degenerate/singular parabolic equations

Ki-Ahm Lee, Hyungsung Yun

In this paper, we establish the boundary regularity results for viscosity solutions of fully nonlinear degenerate/singular parabolic equations of the form $$u_t - x_n^γ F(D^2 u,x,t…

math.AP2023★ 1 cited

Generalized Schauder Theory and its Application to Degenerate/Singular Parabolic Equations

Takwon Kim, Ki-Ahm Lee, Hyungsung Yun

In this paper, we study generalized Schauder theory for the degenerate/singular parabolic equations of the form $$u_t = a^{i'j'}u_{i'j'} + 2 x_n^{γ/2} a^{i'n} u_{i'n} + x_n^γ a^{nn…

math.AP2023

$C^{1, α}$ -regularity for solutions of degenerate/singular fully nonlinear parabolic equations

Ki-Ahm Lee, Se-Chan Lee, Hyungsung Yun

We establish the interior $C^{1, α}$ -estimate for viscosity solutions of degenerate/singular fully nonlinear parabolic equations $u_{t} = ∣ D u ∣^{γ} F (D^{2} u) + f .$ For this purpose, we pr…

Boundary Regularity for viscosity solutions of Fully nonlinear degenerate/singular parabolic equations

Generalized Schauder Theory and its Application to Degenerate/Singular Parabolic Equations

C1,α-regularity for solutions of degenerate/singular fully nonlinear parabolic equations

$C^{1, α}$ -regularity for solutions of degenerate/singular fully nonlinear parabolic equations