Gradient estimates for oblique derivative problems via the maximum principle
Analysis of PDEs
2020-11-26 v1
Abstract
We prove gradient estimates for solutions of the oblique derivative problem for a large class of elliptic and parabolic quasilinear PDEs. In particular, we expand on previous work of the author using a maximum principle argument. In addition, we prove estimates for the parabolic problem of evolution via mean curvature with nonzero Neumann data, which seem to be new.
Cite
@article{arxiv.1801.05067,
title = {Gradient estimates for oblique derivative problems via the maximum principle},
author = {Gary M. Lieberman},
journal= {arXiv preprint arXiv:1801.05067},
year = {2020}
}
Comments
55 pages