A generalization of Hamilton's gradient estimate
From MaRDI portal
Publication:413680
DOI10.1016/j.geomphys.2011.12.013zbMath1259.58013OpenAlexW2069148827MaRDI QIDQ413680
Publication date: 7 May 2012
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2011.12.013
Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (3)
The Li-Yau inequality and applications under a curvature-dimension condition ⋮ Hamilton's gradient estimates and a monotonicity formula for heat flows on metric measure spaces ⋮ Asymptotic estimates on the time derivative of \(\Phi\)-entropy on Riemannian manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Perelman's entropy formula for the Witten Laplacian on Riemannian manifolds via Bakry-Emery Ricci curvature
- Elliptic gradient estimates for diffusion operators on complete Riemannian manifolds
- A universal bound on the gradient of logarithm of the heat kernel for manifolds with bounded Ricci curvature
- Phi-entropy inequalities for diffusion semigroups
- On the parabolic kernel of the Schrödinger operator
- Heat kernel bounds on manifolds
- A matrix Harnack estimate for the heat equation
- Refined convex Sobolev inequalities
- Entropies, convexity, and functional inequalities: on \(\Phi\)-entropies and \(\Phi\)-Sobolev inequalities
- Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
- ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
- SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
- Phi-entropy inequalities and Fokker-Planck equations
- Hamilton’s gradient estimate for the heat kernel on complete manifolds
This page was built for publication: A generalization of Hamilton's gradient estimate
