Smoothness up to the free boundary for the $p$-Laplacian evolution equation and the $\hat{I}\pm$-Gauss curvature flow

Albert Chau, Ben Weinkove

The $p$-Laplacian evolution equation and the $\hat{I}\pm$-Gauss curvature flow with a flat side are degenerate parabolic equations with evolving free boundaries. We give proofs of smooth s…