Regularity of solutions of the parabolic normalized p-Laplace equation

The parabolic normalized p-Laplace equation is studied. We prove that a viscosity solution has a time derivative in the sense of Sobolev belonging locally to L2{L^{2}}.

Bibliographic Details
Main Authors: Høeg Fredrik Arbo, Lindqvist Peter
Format: Article
Language:English
Published: De Gruyter 2018-07-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2018-0091
Description
Summary:The parabolic normalized p-Laplace equation is studied. We prove that a viscosity solution has a time derivative in the sense of Sobolev belonging locally to L2{L^{2}}.
ISSN:2191-950X