We give proof of Hölder continuity for bounded local weak solutions to a parabolic anisotropic equation, under certain conditions on the diffusion exponents, via recently discovered intrinsic Harnack estimates. We establish an equivalent formulation of these Harnack estimates within the proper intrinsic geometry.
On Hölder continuity and equivalent formulation of intrinsic Harnack estimates for an anisotropic parabolic degenerate prototype equation / SIMONE CIANI; VINCENZO VESPRI. - In: CONSTRUCTIVE MATHEMATICAL ANALYSIS. - ISSN 2651-2939. - ELETTRONICO. - vol IV issue 1:(2021), pp. 93-103. [10.33205/cma.824336]
On Hölder continuity and equivalent formulation of intrinsic Harnack estimates for an anisotropic parabolic degenerate prototype equation
SIMONE CIANI
;VINCENZO VESPRI
2021
Abstract
We give proof of Hölder continuity for bounded local weak solutions to a parabolic anisotropic equation, under certain conditions on the diffusion exponents, via recently discovered intrinsic Harnack estimates. We establish an equivalent formulation of these Harnack estimates within the proper intrinsic geometry.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
CMA paper.pdf
accesso aperto
Descrizione: articolo principale
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Creative commons
Dimensione
426.07 kB
Formato
Adobe PDF
|
426.07 kB | Adobe PDF |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
