Elliptic gradient estimates for the doubly nonlinear diffusion equation
From MaRDI portal
Publication:1791713
DOI10.1016/j.na.2018.06.004zbMath1398.53043OpenAlexW2811098623MaRDI QIDQ1791713
Publication date: 11 October 2018
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2018.06.004
fast diffusion equationgradient estimateHarnack inequality\(p\)-Laplace parabolic equationdoubly nonlinear diffusion equation
Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (3)
Upper bounds of Hessian matrix and gradient estimates of positive solutions to the nonlinear parabolic equation along Ricci flow ⋮ Unnamed Item ⋮ Gradient estimates for nonlinear reaction-diffusion equations on Riemannian manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local gradient estimate for \(p\)-harmonic functions on Riemannian manifolds
- Gradient estimates for doubly nonlinear diffusion equations
- Hamilton's gradient estimates of porous medium and fast diffusion equations
- Differential Harnack estimates for backward heat equations with potentials under the Ricci flow
- Local Aronson-Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds
- On the parabolic kernel of the Schrödinger operator
- A matrix Harnack estimate for the heat equation
- Local Aronson-Bénilan gradient estimates and Harnack inequality for the porous medium equation along Ricci flow
- Hamilton's gradient estimates and Liouville theorems for porous medium equations on noncompact Riemannian manifolds
- Li-Yau inequality on graphs
- Gradient estimates for porous medium equations under the Ricci flow
- 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
- Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula
- Differential equations on riemannian manifolds and their geometric applications
- Gradient estimates for the p-Laplace heat equation under the Ricci flow
- Gradient estimates and entropy monotonicity formula for doubly nonlinear diffusion equations on Riemannian manifolds
This page was built for publication: Elliptic gradient estimates for the doubly nonlinear diffusion equation