1 citations · 1 across the 5 of their papers we have counts for
5 papers
Diffusion-Reaction Epidemic Model with a Free Boundary
Aesol Jeon, Ki-Ahm Lee
This study investigates an SEIS PDE model with a free boundary, which captures the dynamics of epidemic transmission, including diseases like COVID-19. This parabolic PDE system is…
Hölder regularity of solutions of degenerate parabolic equations of general dimension
Hyo Seok Jang, Ki-Ahm Lee
We establish the Alexandroff-Bakelman-Pucci estimate, the Harnack inequality, the Hölder regularity and the Schauder estimates to a class of degenerate parabolic equations of non-d…
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 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…