Harnack differential inequalities for the parabolic equation \(u_t=\mathcal LF(u)\) on Riemannian manifolds and applications
DOI10.1007/s10114-016-6260-2zbMath1367.58011OpenAlexW2562538114WikidataQ115385209 ScholiaQ115385209MaRDI QIDQ2627877
Publication date: 1 June 2017
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-016-6260-2
fast diffusion equationparabolic equationporous media equationLi-Yau type Harnack differential inequalitylocal Hamilton type gradient estimate
Heat equation (35K05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Positive solutions to PDEs (35B09) PDEs on manifolds (35R01)
Related Items (1)
Cites Work
- Gradient estimates for the porous medium equations on Riemannian manifolds
- Differential Harnack inequalities on Riemannian manifolds. I: Linear heat equation
- Gradient estimates for \(u_t = \Delta F(u)\) on manifolds and some Liouville-type theorems
- Gradient estimates for a nonlinear diffusion equation on complete manifolds
- Gradient estimate for Schrödinger operators on manifolds
- Li-Yau type estimates for a nonlinear parabolic equation on complete manifolds
- Local Aronson-Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds
- On the parabolic kernel of the Schrödinger operator
- Gradient estimates and Harnack inequalities for nonlinear parabolic and nonlinear elliptic equations on Riemannian manifolds
- A matrix Harnack estimate for the heat equation
- On the Harnack inequalities of partial differential equations
- Hamilton's gradient estimates and Liouville theorems for porous medium equations on noncompact Riemannian manifolds
- Gradient estimate for the degenerate parabolic equation \(u_t=\Delta F(u)+H(u)\) on manifolds
- Gradient estimates and entropy formulae of porous medium and fast diffusion equations for the Witten Laplacian
- Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
- Hamilton’s gradient estimates and Liouville theorems for fast diffusion equations on noncompact Riemannian manifolds
- SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
- The Cauchy Problem for u t = Δu m When 0 < m < 1
- Differential equations on riemannian manifolds and their geometric applications
- Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Harnack differential inequalities for the parabolic equation \(u_t=\mathcal LF(u)\) on Riemannian manifolds and applications
