Geometric flows and differential Harnack estimates for heat equations with potentials

DOI10.1007/S10455-013-9401-1zbMath1305.53066OpenAlexW2022509875WikidataQ115384586 ScholiaQ115384586MaRDI QIDQ2450919

Masashi Ishida

Publication date: 23 May 2014

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-013-9401-1

zbMATH Keywords

Ricci flowgeometric flowsdifferential Harnack estimatesheat equations with potentials

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (8)

Liouville theorem for heat equation Along ancient super Ricci flow via reduced geometry ⋮ Harnack estimates for nonlinear heat equations with potentials in geometric flows ⋮ Aronson–Bénilan estimates for weighted porous medium equations under the geometric flow ⋮ Gradient estimates for a weighted parabolic equation under geometric flow ⋮ Unnamed Item ⋮ Harnack estimates for nonlinear backward heat equations in geometric flows ⋮ CROSS DIFFUSION AND NONLINEAR DIFFUSION PREVENTING BLOW UP IN THE KELLER–SEGEL MODEL ⋮ Gradient estimates and Harnack inequalities of a parabolic equation under geometric flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Harnack estimate for the Ricci flow
• Differential Harnack inequalities for heat equations with potentials under the Bernhard List's flow
• Gradient estimates for positive solutions of the heat equation under geometric flow
• Evolution of an extended Ricci flow system
• On the parabolic kernel of the Schrödinger operator
• Four-manifolds with positive curvature operator
• Harnack inequalities for evolving hypersurfaces
• The fundamental solution on manifolds with time-dependent metrics
• Matrix Li-Yau-Hamilton estimates for the heat equation on Kähler manifolds
• On Harnack's inequalities for the Kähler-Ricci flow
• Three-manifolds with positive Ricci curvature
• Harnack estimate for the mean curvature flow
• Differential Harnack estimates for time-dependent heat equations with potentials
• Ricci flow coupled with harmonic map flow
• On Harnack's inequality and entropy for the gaussian curvature flow
• Monotone volume formulas for geometric flows

This page was built for publication: Geometric flows and differential Harnack estimates for heat equations with potentials