We prove extinction in a finite time for a singular parabolic equation on a Riemannian manifold, under suitable assumptions on the Riemannian metric and on the inhomogeneous coefficient appearing in the equation. The result relies on a suitable embedding theorem, of which we present a new proof.

Extinction in a finite time for parabolic equations of fast diffusion type on manifolds / Andreucci, D.; Tedeev, A. F.. - (2021), pp. 1-6. - TRENDS IN MATHEMATICS. [10.1007/978-3-030-49763-7_1].

Extinction in a finite time for parabolic equations of fast diffusion type on manifolds

Andreucci, D.;
2021

Abstract

We prove extinction in a finite time for a singular parabolic equation on a Riemannian manifold, under suitable assumptions on the Riemannian metric and on the inhomogeneous coefficient appearing in the equation. The result relies on a suitable embedding theorem, of which we present a new proof.
2021
Operator theory and differential equations
978-3-030-49763-7
fast diffusion, nonlinear parabolic equation, diffusion on manifolds, embedding
02 Pubblicazione su volume::02a Capitolo o Articolo
Extinction in a finite time for parabolic equations of fast diffusion type on manifolds / Andreucci, D.; Tedeev, A. F.. - (2021), pp. 1-6. - TRENDS IN MATHEMATICS. [10.1007/978-3-030-49763-7_1].
File allegati a questo prodotto
File Dimensione Formato  
Andreucci_Extinction_2021.pdf

Open Access dal 02/01/2022

Note: https://link.springer.com/chapter/10.1007/978-3-030-49763-7_1
Tipologia: Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 95.88 kB
Formato Adobe PDF
95.88 kB Adobe PDF

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/11573/1573888
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? ND
social impact