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].
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Note: https://link.springer.com/chapter/10.1007/978-3-030-49763-7_1
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1573888
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