Hölder regularity for parabolic De Giorgi classes in metric measure spaces

Autor:	Mathias Masson, Juhana Siljander
Rok vydání:	2012
Předmět:	Pure mathematics General Mathematics Mathematical analysis Mathematics::Analysis of PDEs Hölder condition Algebraic geometry Measure (mathematics) Sobolev space symbols.namesake Number theory Metric (mathematics) Poincaré conjecture symbols Mathematics Harnack's inequality
Zdroj:	Manuscripta Mathematica. 142:187-214
ISSN:	1432-1785 0025-2611
DOI:	10.1007/s00229-012-0598-2
Popis:	We give a proof for the Holder 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)-Poincare inequality and to satisfy the annular decay property.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bdff862798461ed9dcfeac20929109b3 https://doi.org/10.1007/s00229-012-0598-2 Zobrazit plný text záznamu Full text from SpringerLink