Triviality of bounded solutions and gradient estimates for nonlinear \(f\)-heat equations on complete smooth metric measure spaces

DOI10.1016/j.geomphys.2022.104670OpenAlexW4296285994MaRDI QIDQ2085441

Akram Ali, Abimbola Abolarinwa, Fatemah Y. Y. Mofarreh

Publication date: 18 October 2022

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2022.104670

zbMATH Keywords

Riemannian manifoldsmean curvaturegradient estimatessmooth metric measure spaceLiouville theoremsBakry-Émery curvaturecompact boundary

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Parabolic equations and parabolic systems (35K99) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

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