On time dependent domains for the degenerate $$p$$ p -parabolic equation: Carleson estimate and Hölder continuity

Autor:	Benny Avelin
Rok vydání:	2015
Předmět:	010104 statistics & probability General Mathematics 010102 general mathematics Degenerate energy levels Mathematical analysis Hölder condition Boundary (topology) 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Mathematische Annalen. 364:667-686
ISSN:	1432-1807 0025-5831
Popis:	In this paper we propose a definition of “parabolic NTA” for solutions to the degenerate \(p\)-parabolic equation. Given this definition we prove the Carleson estimate, originally proved for this equation in Avelin et al. (J Eur Math Soc, 2015) for cylindrical domains. Moreover we study a non-optimal, stronger “outer corkscrew” condition, such that we obtain Holder continuity up to the boundary, for non-negative solutions vanishing on a part of the boundary.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a013719bc4d2169edc91bdda5ea88406 https://doi.org/10.1007/s00208-015-1226-8 Zobrazit plný text záznamu Full text from SpringerLink