Liouville theorem for subcritical nonlinear heat equation

2025/05/18 by Zhou, Yang
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2505.12264

Abstract

We obtain a Li-Yau-type estimate for nonnegative ancient solutions to the subcritical semilinear heat equation (\p u)/(\p t)=\De u+u^p in \rzⁿ×(-∞,0). Then, we combine the Li-Yau type estimate and Melre-Zaag's result to prove the Liouville theorem of this equation.

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