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
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.
@article{AIHPC_2010__27_1_201_0,
author = {B\"ogelein, Verena and Duzaar, Frank and Mingione, Giuseppe},
title = {The boundary regularity of non-linear parabolic systems {I}},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {201--255},
year = {2010},
publisher = {Elsevier},
volume = {27},
number = {1},
doi = {10.1016/j.anihpc.2009.09.003},
mrnumber = {2580509},
zbl = {1194.35086},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2009.09.003/}
}
TY - JOUR AU - Bögelein, Verena AU - Duzaar, Frank AU - Mingione, Giuseppe TI - The boundary regularity of non-linear parabolic systems I JO - Annales de l'I.H.P. Analyse non linéaire PY - 2010 SP - 201 EP - 255 VL - 27 IS - 1 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2009.09.003/ DO - 10.1016/j.anihpc.2009.09.003 LA - en ID - AIHPC_2010__27_1_201_0 ER -
%0 Journal Article %A Bögelein, Verena %A Duzaar, Frank %A Mingione, Giuseppe %T The boundary regularity of non-linear parabolic systems I %J Annales de l'I.H.P. Analyse non linéaire %D 2010 %P 201-255 %V 27 %N 1 %I Elsevier %U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2009.09.003/ %R 10.1016/j.anihpc.2009.09.003 %G en %F AIHPC_2010__27_1_201_0
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
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