Hölder regularity for parabolic De Giorgi classes in metric measure spaces

We give a proof for the Hölder continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak (1, p )-Poincaré inequality and to satisfy the annular decay property.

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Veröffentlicht in:	Manuscripta mathematica 2013-09, Vol.142 (1-2), p.187-214
Hauptverfasser:	Masson, Mathias, Siljander, Juhana
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Calculus of Variations and Optimal Control Optimization Geometry Lie Groups Mathematics Mathematics and Statistics Number Theory Topological Groups
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Beschreibung
Zusammenfassung:	We give a proof for the Hölder continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak (1, p )-Poincaré inequality and to satisfy the annular decay property.
ISSN:	0025-2611 1432-1785
DOI:	10.1007/s00229-012-0598-2