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.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.
