Heat kernel on smooth metric measure spaces with nonnegative curvature

DOI10.1007/s00208-014-1146-zzbMath1398.35101arXiv1401.6155OpenAlexW2040731392MaRDI QIDQ2516880

Peng Wu, Jia-Yong Wu

Publication date: 4 August 2015

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6155

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Heat kernel (35K08)

Related Items (21)

Elliptic gradient estimates for a nonlinear \(f\)-heat equation on weighted manifolds with evolving metrics and potentials ⋮ Heat kernel on smooth metric measure spaces and applications ⋮ Gradient estimates for a nonlinear parabolic equation with Dirichlet boundary condition ⋮ Time analyticity for the heat equation on gradient shrinking Ricci solitons ⋮ Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials ⋮ Gradient estimates of positive solutions for the weighted nonlinear parabolic equation ⋮ Harmonic and Schrödinger functions of polynomial growth on gradient shrinking Ricci solitons ⋮ Liouville-type theorems on the complete gradient shrinking Ricci solitons ⋮ Heat kernel estimate for the Laplace-Beltrami operator under Bakry-Émery Ricci curvature condition and applications ⋮ Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian ⋮ Some \(L^p\) Liouville theorems on Finsler measure spaces ⋮ Schrödinger heat kernel upper bounds on gradient shrinking Ricci solitons ⋮ Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature ⋮ LIOUVILLE PROPERTY FOR <i>f</i>-HARMONIC FUNCTIONS WITH POLYNOMIAL GROWTH ⋮ Gradient estimates for weighted harmonic function with Dirichlet boundary condition ⋮ Elliptic gradient estimates for a nonlinear heat equation and applications ⋮ Counting ends on complete smooth metric measure spaces ⋮ Gradient estimates for the 𝑝-Laplacian Lichnerowicz equation on smooth metric measure spaces ⋮ Gradient estimates for a weighted nonlinear parabolic equation and applications ⋮ Analysis of weighted p-harmonic forms and applications ⋮ Elliptic gradient estimates for a weighted heat equation and applications

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