English

H\"older regularity for parabolic De Giorgi classes in metric measure spaces

Analysis of PDEs 2012-11-13 v2

Abstract

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

Keywords

Cite

@article{arxiv.1210.6792,
  title  = {H\"older regularity for parabolic De Giorgi classes in metric measure spaces},
  author = {Mathias Masson and Juhana Siljander},
  journal= {arXiv preprint arXiv:1210.6792},
  year   = {2012}
}