The boundary regularity of non-linear parabolic systems I

Bögelein V, Duzaar F, Mingione G (2010)

Publication Type: Journal article

Publication year: 2010

Journal

Annales de l'Institut Henri Poincaré - Analyse Non Linéaire Elsevier Masson / Institute Henri Poincaré

Publisher: Elsevier Masson / Institute Henri Poincaré

Book Volume: 27

Pages Range: 201-255

Journal Issue: 1

DOI: 10.1016/j.anihpc.2009.09.003

Abstract

This is the first part of a work aimed at establishing that for solutions to Cauchy-Dirichlet problems involving general non-linear systems of parabolic type, almost every parabolic boundary point is a Hölder continuity point for the spatial gradient of solutions. Here we develop the basic necessary and sufficient condition for establishing the regular nature of a boundary point.

Authors with CRIS profile

Verena Anna Maria Bögelein Naturwissenschaftliche Fakultät Frank Duzaar Lehrstuhl für Partial Differential Equations

Involved external institutions

University of Parma / Università degli Studi di Parma IT Italy (IT)

How to cite

APA:

Bögelein, V., Duzaar, F., & Mingione, G. (2010). The boundary regularity of non-linear parabolic systems I. Annales de l'Institut Henri Poincaré - Analyse Non Linéaire, 27(1), 201-255. https://doi.org/10.1016/j.anihpc.2009.09.003

MLA:

Bögelein, Verena, Frank Duzaar, and Giuseppe Mingione. "The boundary regularity of non-linear parabolic systems I." Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 27.1 (2010): 201-255.

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