Hölder regularity for parabolic De Giorgi classes in metric measure spaces

2012/10/25 by Mathias Masson, Masson, Mathias, Juhana Siljander +1
Mathematics · #31E05 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Primary 35B65. Secondary 35K65

paper · pdf · doi:10.48550/arxiv.1210.6792

openalex publication_date 2012/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Quasiconformal maps in metric spaces with controlled geometry

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