We study a parabolic equation for the fractional p-Laplacian of order s, for p≥ 2 and 0 < s< 1. We provide space-time Hölder estimates for weak solutions, with explicit exponents. The proofs are based on iterated discrete differentiation of the equation in the spirit of Moser’s technique.

Continuity of solutions to a nonlinear fractional diffusion equation

Brasco L.
Primo
;
Lindgren E.
Secondo
;
2021

Abstract

We study a parabolic equation for the fractional p-Laplacian of order s, for p≥ 2 and 0 < s< 1. We provide space-time Hölder estimates for weak solutions, with explicit exponents. The proofs are based on iterated discrete differentiation of the equation in the spirit of Moser’s technique.
2021
Brasco, L.; Lindgren, E.; Stromqvist, M.
File in questo prodotto:
File Dimensione Formato  
bralinstr_rev2021_final.pdf

accesso aperto

Descrizione: Pre-print
Tipologia: Post-print
Licenza: Creative commons
Dimensione 573.71 kB
Formato Adobe PDF
573.71 kB Adobe PDF Visualizza/Apri
s00028-021-00721-2.pdf

accesso aperto

Descrizione: Full text editoriale
Tipologia: Full text (versione editoriale)
Licenza: Creative commons
Dimensione 732.88 kB
Formato Adobe PDF
732.88 kB Adobe PDF Visualizza/Apri

I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2472220
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 22
  • ???jsp.display-item.citation.isi??? 20
social impact