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arXiv · 1801.05067

Gradient estimates for oblique derivative problems via the maximum principle

Gary M. Lieberman
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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.

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Gary M. Lieberman. 2018-01-15. Gradient estimates for oblique derivative problems via the maximum principle. https://arxiv.org/abs/1801.05067

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