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arXiv:1210.6792 [math.AP]AbstractReferencesReviewsResources

Hölder regularity for parabolic De Giorgi classes in metric measure spaces

Mathias Masson, Juhana Siljander

Published 2012-10-25, updated 2012-11-10Version 2

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 $(1,p)$-Poincar\'e inequality and to satisfy the annular decay property.

Categories: math.AP
Subjects: 35B65, 35K65, 31E05
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