Harnack estimates for nonlinear backward heat equations in geometric flows
From MaRDI portal
Publication:457596
DOI10.1016/J.JFA.2014.08.006zbMath1301.53062arXiv1402.4232OpenAlexW2962857027MaRDI QIDQ457596
Publication date: 29 September 2014
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.4232
Related Items (12)
An interpolating Harnack inequality for nonlinear heat equation on a surface ⋮ Long time existence of Ricci-harmonic flow ⋮ Harnack estimates for nonlinear heat equations with potentials in geometric flows ⋮ Gradient estimates of a nonlinear elliptic equation for the $V$-Laplacian on noncompact Riemannian manifolds ⋮ Linear interpolation on \(k^{\alpha }\)-type area-preserving and length-preserving curve flows ⋮ Aronson–Bénilan estimates for weighted porous medium equations under the geometric flow ⋮ Gradient estimates for a weighted parabolic equation under geometric flow ⋮ Long time existence and bounded scalar curvature in the Ricci-harmonic flow ⋮ New differential Harnack inequalities for nonlinear heat equations ⋮ Gradient estimates and Harnack inequalities of a parabolic equation under geometric flow ⋮ Evolution of a geometric constant along the Ricci flow ⋮ HARNACK ESTIMATES FOR NONLINEAR BACKWARD HEAT EQUATIONS WITH POTENTIALS ALONG THE RICCI-BOURGUIGNON FLOW
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Entropy and lowest eigenvalue on evolving manifolds
- Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow
- 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
- Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
- A gradient estimate for all positive solutions of the conjugate heat equation under Ricci flow
- Differential Harnack estimates for backward heat equations with potentials under the Ricci flow
- Evolution of an extended Ricci flow system
- Gradient estimates for solutions of the heat equation under Ricci flow
- On the parabolic kernel of the Schrödinger operator
- A matrix Harnack estimate for the heat equation
- The fundamental solution on manifolds with time-dependent metrics
- Three-manifolds with positive Ricci curvature
- Harnack estimate for the mean curvature flow
- Harnack estimates for geometric flows, applications to Ricci flow coupled with harmonic map flow
- Geometric flows and differential Harnack estimates for heat equations with potentials
- Differential Harnack estimates for time-dependent heat equations with potentials
- Ricci flow coupled with harmonic map flow
- Differential Harnack estimates for parabolic equations
- Monotone volume formulas for geometric flows
This page was built for publication: Harnack estimates for nonlinear backward heat equations in geometric flows