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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-d…
math.AP2018
The scalar curvature flow with a flat side
Hyo Seok Jang, Ki-Ahm Lee
We study the near-the-interface behavior of a compact convex scalar curvature flow with a flat side. Under suitable initial conditions on the flat side, we show that the interface…