We derive an adaptation of Li & Yau estimates for positive solutions of semilinear heat equations on Riemannian manifolds with nonnegative Ricci tensor. We then apply these estimates to obtain a Harnack inequality and to discuss monotonicity, convexity, decay estimates and triviality of ancient and eternal solutions.
Titolo: | Semilinear Li & Yau inequalities | |
Autori: | ||
Data di pubblicazione: | Being printed | |
Rivista: | ||
Abstract: | We derive an adaptation of Li & Yau estimates for positive solutions of semilinear heat equation...s on Riemannian manifolds with nonnegative Ricci tensor. We then apply these estimates to obtain a Harnack inequality and to discuss monotonicity, convexity, decay estimates and triviality of ancient and eternal solutions. | |
Handle: | http://hdl.handle.net/11588/868403 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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