Schauder estimates for parabolic p‐Laplace systems

Journal of the London Mathematical Society 2026 Open access

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Authors: Verena Bögelein, Frank Duzaar, Ugo Gianazza, Naian Liao, Christoph Scheven
DOI: 10.1112/jlms.70463
Cited by: 3
References: 29

Abstract

Abstract We establish the local Hölder regularity of the spatial gradient of bounded weak solutions to the nonlinear system of parabolic type where , , and the coefficient is bounded below by a positive constant and is Hölder continuous in the space variable . As an application, we prove Hölder estimates for the gradient of weak solutions to a doubly nonlinear parabolic equation in the supercritical fast diffusion regime.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Geometric Analysis and Curvature Flows Numerical methods in inverse problems

Publication details

Journal / source
Journal of the London Mathematical Society
Publisher
Wiley
Volume
113
Issue
3
Publication date
1 March 2026
Language
EN