Archivio Istituzionale della RicercaWe study the free boundary of solutions to the parabolic obstacle problem with fully nonlinear diffusion. We show that the free boundary splits into a regular and a singular part: near regular points the free boundary is C-8 in space and time. Furthermore, we prove that the set of singular points is locally covered by a Lipschitz manifold of dimension n - 1 which is also e-flat in space, for any e > 0.
Regularity theory for fully nonlinear parabolic obstacle problems / Audrito, A.; Kukuljan, T.. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 285:10(2023). [10.1016/j.jfa.2023.110116]
Regularity theory for fully nonlinear parabolic obstacle problems
Audrito A.;
2023
Abstract
We study the free boundary of solutions to the parabolic obstacle problem with fully nonlinear diffusion. We show that the free boundary splits into a regular and a singular part: near regular points the free boundary is C-8 in space and time. Furthermore, we prove that the set of singular points is locally covered by a Lipschitz manifold of dimension n - 1 which is also e-flat in space, for any e > 0.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Regularity theory for fully nonlinear parabolic obstacle problems.pdf
accesso aperto
Tipologia:
2a Post-print versione editoriale / Version of Record
Licenza:
Creative commons
Dimensione
765.1 kB
Formato
Adobe PDF
|
765.1 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS 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/11583/2985050