Title: Li & Yau estimates for some semilinear heat equations, Speaker(s): Carlo Mantegazza , Università di Napoli, Date and time: 11 Jul 2022, 17:30 (Europe/Rome), Lecture series: Analysis Seminar, Venue: Dipartimento di Matematica (Aula Magna).

You can access the full event here: https://events.dm.unipi.it/e/101

Abstract --------

We will show some Li & Yau–type gradient estimates for positive solutions of the semilinear heat equations $u_t =\Delta u + u^p$ with p>1, on a complete n–dimensional Riemannian manifold (M,g) with nonnegative Ricci tensor. We then discuss some applications to ancient and eternal solutions.

Joint work with Giacomo Ascione, Daniele Castorina and Giovanni Catino.

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