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arXiv · 2201.02530

Semilinear Li & Yau inequalities

Daniele Castorina·Giovanni Catino·Carlo Mantegazza
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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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Daniele Castorina, Giovanni Catino, Carlo Mantegazza. 2022-01-07. Semilinear Li & Yau inequalities. https://arxiv.org/abs/2201.02530

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