Hölder regularity for parabolic De Giorgi classes in metric measure spaces

Hölder regularity for parabolic De Giorgi classes in metric measure spaces

We give a proof for the H\"older 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:arXiv.org 2012-11
Hauptverfasser: Masson, Mathias, Siljander, Juhana
Format: Artikel
Sprache:eng
Schlagworte:
Continuity (mathematics)
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Zusammenfassung:We give a proof for the H\"older 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:2331-8422