Abstract
AbstractWe derive an adaptation of Li and 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.
Funder
Università degli Studi di Napoli Federico II
Publisher
Springer Science and Business Media LLC