A universal bound on the gradient of logarithm of the heat kernel for manifolds with bounded Ricci curvature
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Publication:852591
DOI10.1016/j.jfa.2006.02.013zbMath1246.58021OpenAlexW1970420345MaRDI QIDQ852591
Publication date: 15 November 2006
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2006.02.013
Related Items (13)
First order Feynman-Kac formula ⋮ Gradient estimates for the heat kernels in higher dimensional Heisenberg groups ⋮ Positive curvature property for sub-Laplacian on nilpotent Lie group of rank two ⋮ The discrete Gaussian free field on a compact manifold ⋮ Universal cutoff for Dyson Ornstein Uhlenbeck process ⋮ A generalization of Hamilton's gradient estimate ⋮ Logarithmic heat kernel estimates without curvature restrictions ⋮ Perelman's entropy formula for the Witten Laplacian on Riemannian manifolds via Bakry-Emery Ricci curvature ⋮ Hamilton type gradient estimate for the sub-elliptic operators ⋮ Positive curvature property for some hypoelliptic heat kernels ⋮ Brownian bridges to submanifolds ⋮ Hamilton's Harnack inequality and the \(W\)-entropy formula on complete Riemannian manifolds ⋮ Localized elliptic gradient estimate for solutions of the heat equation on \({ RCD}^\ast(K,N)\) metric measure spaces
Cites Work
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- On the parabolic kernel of the Schrödinger operator
- Upper bounds on derivatives of the logarithm of the heat kernel
- Harnack inequalities on a manifold with positive or negative Ricci curvature
- Estimates of derivatives of the heat kernel on a compact Riemannian manifold
- U(2) invariant four dimensional Einstein metrics
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