Harnack inequality, heat kernel bounds and eigenvalue estimates under integral Ricci curvature bounds
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Publication:1989435
DOI10.1016/j.jde.2020.01.003zbMath1442.58017OpenAlexW2999682143WikidataQ126087363 ScholiaQ126087363MaRDI QIDQ1989435
Publication date: 22 April 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.01.003
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 (14)
Elliptic gradient estimates for a nonlinear \(f\)-heat equation on weighted manifolds with evolving metrics and potentials ⋮ Gradient estimates for weighted \(p\)-Laplacian equations on Riemannian manifolds with a Sobolev inequality and integral Ricci bounds ⋮ Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains ⋮ 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 ⋮ Gradient estimates for a weighted \(\Gamma\)-nonlinear parabolic equation coupled with a super Perelman-Ricci flow and implications ⋮ Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition ⋮ Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds. II: Integral curvature condition ⋮ Hamilton and Li-Yau type gradient estimates for a weighted nonlinear parabolic equation under a super Perelman-Ricci flow ⋮ Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian ⋮ Local Hessian estimates of solutions to nonlinear parabolic equations along Ricci flow ⋮ Upper bounds of Hessian matrix and gradient estimates of positive solutions to the nonlinear parabolic equation along Ricci flow ⋮ Harnack inequalities for functional SDEs driven by subordinate fractional Brownian motion ⋮ Harnack inequalities for functional SDEs driven by subordinate multifractional Brownian motion
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