Gradient estimates and a Liouville type theorem for the Witten-Laplacian

DOI10.1016/J.JMAA.2013.07.081zbMath1312.35035OpenAlexW2061289211MaRDI QIDQ2260390

Haoran Zhao

Publication date: 10 March 2015

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.2013.07.081

zbMATH Keywords

heat equationgradient estimatecomplete Riemannian manifoldBakry-Emery Ricci curvature

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Elliptic equations on manifolds, general theory (58J05) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

• Li-Yau type estimates for a nonlinear parabolic equation on complete manifolds
• On the parabolic kernel of the Schrödinger operator
• Gradient estimates and a Liouville type theorem for the Schrödinger operator
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications

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