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Improved regularity for the parabolic normalized p-Laplace equation

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Author(s):
Andrade, Pedra D. S. ; Santos, Makson S.
Total Authors: 2
Document type: Journal article
Source: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS; v. 61, n. 5, p. 13-pg., 2022-10-01.
Abstract

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. (AU)

FAPESP's process: 21/04524-0 - Regularity theory for classes of local and non-local degenerate elliptic equation
Grantee:Makson Sales Santos
Support Opportunities: Scholarships in Brazil - Post-Doctoral