Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds. I: Bakry-Émery curvature bounded below

DOI10.1016/j.jde.2023.09.006arXiv2308.09563OpenAlexW4386916482MaRDI QIDQ6084174

Zhi-Hao Lu

Publication date: 31 October 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.09563

zbMATH Keywords

Harnack inequalityLiouville theoremsemilinear parabolic equationBakry-Émery Ricci curvatureODE systemdifferential Harnack inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Semilinear parabolic equations (35K58) Positive solutions to PDEs (35B09) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (2)

Differential Harnack inequalities for semilinear parabolic equations on \(\mathrm{RCD}^{\ast} (K,N)\) metric measure spaces ⋮ Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds. II: Integral curvature condition

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