Gradient Hölder regularity for degenerate parabolic systems

Bögelein V, Duzaar F, Liao N, Scheven C (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Nonlinear Analysis - Theory Methods & Applications Elsevier

Book Volume: 225

Article Number: 113119

DOI: 10.1016/j.na.2022.113119

Abstract

We establish the local Hölder regularity of the spatial gradient of weak solutions to a class of general, degenerate parabolic systems. Our results can be regarded as a generalization of the fundamental work by DiBenedetto and Friedman (1985).

Authors with CRIS profile

Frank Duzaar Lehrstuhl für Partial Differential Equations

Involved external institutions

Universität Salzburg (Paris Lodron Universität Salzburg) AT Austria (AT) Universität Duisburg-Essen (UDE) DE Germany (DE)

How to cite

APA:

Bögelein, V., Duzaar, F., Liao, N., & Scheven, C. (2022). Gradient Hölder regularity for degenerate parabolic systems. Nonlinear Analysis - Theory Methods & Applications, 225. https://dx.doi.org/10.1016/j.na.2022.113119

MLA:

Bögelein, Verena, et al. "Gradient Hölder regularity for degenerate parabolic systems." Nonlinear Analysis - Theory Methods & Applications 225 (2022).

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