Abstract:
We will show some Li and 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 (SSM Napoli), Giovanni Catino (PoliMi) and Carlo Mantegazza (Napoli Federico II).
Il seminario avrà luogo in presenza presso il Dipartimento di Matematica e Fisica, L.go S. L. Murialdo 1 - Aula 311
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