1 citations · 1 across the 9 of their papers we have counts for
10 papers
Time derivative estimates for normalized parabolic -Laplace equations
Se-Chan Lee, Hyungsung Yun
We establish the local boundedness of time derivatives of bounded viscosity solutions to the normalized parabolic -Laplace equation for every . The proof combine…
Boundary Hölder gradient estimates for fully nonlinear degenerate or singular parabolic equations
Hyungsung Yun
We study boundary regularity of viscosity solutions to fully nonlinear degenerate or singular parabolic equations. The gradient-dependent degeneracy or singularity, along with the…
Boundary Hölder gradient estimates for parabolic -Laplace type equations
Se-Chan Lee, Yuanyuan Lian, Hyungsung Yun +1
In this paper, we study the boundary regularity for viscosity solutions of parabolic -Laplace type equations. In particular, we obtain the boundary pointwise regularit…
Optimal regularity for degenerate parabolic equations on a flat boundary
Hyungsung Yun
We establish the optimal regularity of viscosity solutions to \begin{equation*} u_t - x_n^γΔu = f, \end{equation*} which arises in the regularity theory for the porous medium equat…
Time derivative estimates for parabolic -Laplace equations and applications to optimal regularity
Se-Chan Lee, Yuanyuan Lian, Hyungsung Yun +1
We establish the boundedness of time derivatives of solutions to parabolic -Laplace equations. Our approach relies on the Bernstein technique combined with a suitable approximat…
Regularity theory for fully nonlinear equations of porous medium-type
Hyungsung Yun
In this paper, we establish the regularity results for nonnegative viscosity solutions to fully nonlinear equations of porous medium-type in bounded domains with the zero Dirichlet…
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 $$u_t - x_n^γ F(D^2 u,x,t…
Generalized Schauder Theory and its Application to Degenerate/Singular Parabolic Equations
Takwon Kim, Ki-Ahm Lee, Hyungsung Yun
In this paper, we study generalized Schauder theory for the degenerate/singular parabolic equations of the form $$u_t = a^{i'j'}u_{i'j'} + 2 x_n^{γ/2} a^{i'n} u_{i'n} + x_n^γ a^{nn…
-regularity for functions in solution classes and its application to parabolic normalized -Laplace equations
Se-Chan Lee, Hyungsung Yun
We establish the global -regularity for functions in solution classes, whenever ellipticity constants are sufficiently close. As an application, we derive the global regu…
-regularity for solutions of degenerate/singular fully nonlinear parabolic equations
Ki-Ahm Lee, Se-Chan Lee, Hyungsung Yun
We establish the interior -estimate for viscosity solutions of degenerate/singular fully nonlinear parabolic equations For this purpose, we pr…