Upper bounds on derivatives of the logarithm of the heat kernel
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Publication:1281357
DOI10.4310/CAG.1998.v6.n4.a2zbMath0928.58031WikidataQ125362351 ScholiaQ125362351MaRDI QIDQ1281357
James Turetsky, Daniel W. Stroock
Publication date: 4 January 2000
Published in: Communications in Analysis and Geometry (Search for Journal in Brave)
Index theory and related fixed-point theorems on manifolds (58J20) Boundary value problems on manifolds (58J32)
Related Items (18)
A universal bound on the gradient of logarithm of the heat kernel for manifolds with bounded Ricci curvature ⋮ First order Feynman-Kac formula ⋮ Perelman's entropy formula for the Witten Laplacian on Riemannian manifolds via Bakry-Emery Ricci curvature ⋮ Differential Harnack inequalities on Riemannian manifolds. I: Linear heat equation ⋮ Local spectral gaps on loop spaces. ⋮ Derivatives of Feynman-Kac semigroups ⋮ Gradient estimate for the degenerate parabolic equation \(u_t=\Delta F(u)+H(u)\) on manifolds ⋮ Riesz transform on manifolds and heat kernel regularity ⋮ Evolution of harmonic maps on manifolds flat at infinity ⋮ Heat equation derivative formulas for vector bundles ⋮ Small-time asymptotics of Hermite functions on compact symmetric spaces ⋮ Hamilton's Harnack inequality and the \(W\)-entropy formula on complete Riemannian manifolds ⋮ Gradient estimates for heat kernels and harmonic functions ⋮ Localized elliptic gradient estimate for solutions of the heat equation on \({ RCD}^\ast(K,N)\) metric measure spaces ⋮ Finer estimates on the \(2\)-dimensional matching problem ⋮ Global gradient estimates for nonlinear parabolic operators ⋮ Short time behavior of Hermite functions on compact Lie groups ⋮ The Regularity of the Linear Drift in Negatively Curved Spaces
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