Improved regularity for the parabolic normalized p-Laplace equation

被引：0
作者：
Pêdra D. S. Andrade
Makson S. Santos
机构：
[1] Universidade de São Paulo,Instituto de Ciências Matemáticas e de Computação
来源：
Calculus of Variations and Partial Differential Equations | 2022年 / 61卷
关键词：
35B65; 35K55; 35Q91;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We derive regularity estimates for viscosity solutions to the parabolic normalized p-Laplace. By using approximation methods and scaling arguments for the normalized p-parabolic operator, we show that the gradient of bounded viscosity solutions is locally asymptotically Lipschitz continuous when p is sufficiently close to 2. In addition, we establish regularity estimates in Sobolev spaces.
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