The boundary regularity of non-linear parabolic systems I

Bögelein, Verena; Duzaar, Frank; Mingione, Giuseppe

doi:10.1016/j.anihpc.2009.09.003

Bögelein, Verena ; Duzaar, Frank ; Mingione, Giuseppe

Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 1, pp. 201-255.

Résumé

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.

MR Zbl | 3 citations dans Numdam

DOI : 10.1016/j.anihpc.2009.09.003

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Bögelein, Verena; Duzaar, Frank; Mingione, Giuseppe. The boundary regularity of non-linear parabolic systems I. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 1, pp. 201-255. doi : 10.1016/j.anihpc.2009.09.003. http://www.numdam.org/articles/10.1016/j.anihpc.2009.09.003/

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