The Asymptotic profile of solutions of a class of singular parabolic equations

Ragnedda, Francesco; Piro, Stella; Vespri, V.

doi:10.1007/978-3-0348-0075-4_28

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.

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Titolo:	The Asymptotic profile of solutions of a class of singular parabolic equations
Autori:	RAGNEDDA, FRANCESCO PIRO, STELLA VESPRI V. mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2011
Rivista:	PROGRESS IN NONLINEAR DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS
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.
Handle:	http://hdl.handle.net/11584/118
ISBN:	978-3-0348-0074-7
Tipologia:	2.1 Contributo in volume (Capitolo o Saggio)

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