Published Paper
Inserted: 10 jan 2022
Last Updated: 7 jul 2025
Journal: Ann. Mat. Pura Appl.
Volume: 202
Pages: 827-850
Year: 2023
Abstract:
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.
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