Moduli of continuity for viscosity solutions
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Abstract:
In this paper, we investigate the moduli of continuity for viscosity solutions of a wide class of nonsingular quasilinear evolution equations and also for the level set mean curvature flow, which is an example of singular degenerate equations. We prove that the modulus of continuity is a viscosity subsolution of some one-dimensional equation. This work extends B. Andrews’ recent result on moduli of continuity for smooth spatially periodic solutions.References
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Additional Information
- Xiaolong Li
- Affiliation: Department of Mathematics, University of California, San Diego, La Jolla, California 92093
- Email: xil117@ucsd.edu
- Received by editor(s): April 17, 2015
- Published electronically: September 9, 2015
- Communicated by: Michael Wolf
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 1717-1724
- MSC (2010): Primary 53C44; Secondary 35D40
- DOI: https://doi.org/10.1090/proc/12850
- MathSciNet review: 3451247