We consider a class of singular parabolic problems with Dirichlet boundary conditions. We use the Rayleigh quotient and recent Harnack estimates to derive estimates from above and from below for the solution. Moreover we study the asymptotic behaviour when the solution is approaching the extinction time.
The Asymptotic profile of solutions of a class of singular parabolic equations
RAGNEDDA, FRANCESCO;PIRO, STELLA;
2011-01-01
Abstract
We consider a class of singular parabolic problems with Dirichlet boundary conditions. We use the Rayleigh quotient and recent Harnack estimates to derive estimates from above and from below for the solution. Moreover we study the asymptotic behaviour when the solution is approaching the extinction time.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
The asymptotic profile.pdf
Solo gestori archivio
Tipologia:
versione editoriale
Dimensione
193.22 kB
Formato
Adobe PDF
|
193.22 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
