The second-order gradient estimates for the V-heat kernel and its applications

DOI10.1142/s0129167x23500787zbMath1527.35102MaRDI QIDQ6087764

Unnamed Author

Publication date: 16 November 2023

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

gradient estimateBakry-Emery curvature\(f\)-Riesz transform\(V\)-heat kernel\(V\)-Laplace operator

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Geometric theory, characteristics, transformations in context of PDEs (35A30) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Heat kernel (35K08)

Cites Work

• Smooth metric measure spaces with non-negative curvature
• Analysis of weighted Laplacian and applications to Ricci solitons
• Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature
• Existence and Liouville theorems for \(V\)-harmonic maps from complete manifolds
• Gradient estimate for the heat kernel of a complete Riemannian manifold and its applications
• On the parabolic kernel of the Schrödinger operator
• Weak type (1,1) boundedness of Riesz transform on positively curved manifolds
• A Liouville-type theorem for smooth metric measure spaces
• Li-Yau estimates for a nonlinear parabolic equation on manifolds
• Martingale transforms and \(L^p\)-norm estimates of Riesz transforms on complete Riemannian manifolds
• Singular Integrals and Approximate Identities on Spaces of Homogeneous Type
• Harmonic functions on complete riemannian manifolds
• Hamilton's Harnack inequality and the \(W\)-entropy formula on complete Riemannian manifolds
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