Smoothness up to the free boundary for the $p$-Laplacian evolution equation and the $\alpha$-Gauss curvature flow

Autor: Chau, Albert, Weinkove, Ben
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: The $p$-Laplacian evolution equation and the $\alpha$-Gauss curvature flow with a flat side are degenerate parabolic equations with evolving free boundaries. We give proofs of smooth short-time existence, up to the free boundaries, using a result of the authors on linear degenerate equations on a fixed domain.
Comment: 15 pages
Databáze: arXiv