2 papers
math.AP2025
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…
math.AP2024
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-…