A matrix Harnack inequality for semilinear heat equations

A matrix Harnack inequality for semilinear heat equations

We derive a matrix version of Li & Yau–type estimates for positive solutions of semilinear heat equations on Riemannian manifolds with nonnegative sectional curvatures and parallel Ricci tensor, similarly to what R. Hamilton did in [5] for the standard heat equation. We then apply these estimate...

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Bibliographic Details
Main Authors: Giacomo Ascione, Daniele Castorina, Giovanni Catino, Carlo Mantegazza
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:Mathematics in Engineering
Subjects:
ancient solution
eternal solution
semilinear heat equation
matrix harnack inequality
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2023003?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mine.2023003?viewType=HTML

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