Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials

DOI10.1016/j.na.2023.113255zbMath1517.53085arXiv2303.05802OpenAlexW4323857517MaRDI QIDQ6097517

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Publication date: 5 June 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.05802

zbMATH Keywords

Witten Laplaciansmooth metric measure spacesHarnack inequalitiesLiouville-type resultsLi-Yau estimatessuper Perelman-Ricci flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Ricci flows (53E20)

Related Items (3)

Souplet–Zhang and Hamilton‐type gradient estimates for non‐linear elliptic equations on smooth metric measure spaces ⋮ Gradient estimates for nonlinear elliptic equations involving the Witten Laplacian on smooth metric measure spaces and implications ⋮ Hamilton and Li-Yau type gradient estimates for a weighted nonlinear parabolic equation under a super Perelman-Ricci flow

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