2 papers
math.AP2025
Smoothness up to the free boundary for the -Laplacian evolution equation and the -Gauss curvature flow
Albert Chau, Ben Weinkove
The -Laplacian evolution equation and the -Gauss curvature flow with a flat side are degenerate parabolic equations with evolving free boundaries. We give proofs of smooth sh…
math.AP2023
Smooth solutions of degenerate linear parabolic equations and the porous medium equation
Albert Chau, Ben Weinkove
We prove existence of smooth solutions to linear degenerate parabolic equations on bounded domains assuming a structure condition of Fichera. We use this to give a proof of a smoot…