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Semilinear Li & Yau inequalities
Published 7 Jan 2022 in math.AP and math.DG | (2201.02530v1)
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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