Li-Yau type estimates for a nonlinear parabolic equation on complete manifolds

DOI10.1016/j.jmaa.2010.03.055zbMath1211.58017OpenAlexW2090462199WikidataQ125789660 ScholiaQ125789660MaRDI QIDQ982607

Jia-Yong Wu

Publication date: 7 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.03.055

zbMATH Keywords

Bakry-Émery Ricci curvaturegradient Ricci solitonsheat partial differential equations types

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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Cites Work

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• An extension of E. Hopf's maximum principle with an application to Riemannian geometry
• Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
• On the parabolic kernel of the Schrödinger operator
• Three-manifolds with positive Ricci curvature
• Gradient estimates and a Liouville type theorem for the Schrödinger operator
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• Harmonic functions on complete riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications
• Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds

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