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

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.
978-3-0348-0074-7
Singular parabolic equation,; asymptotic behaviour
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/118
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