Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
From MaRDI portal
Publication:5919921
DOI10.1007/s00013-009-0091-7zbMath1194.58020OpenAlexW2106186556WikidataQ115390111 ScholiaQ115390111MaRDI QIDQ5919921
Publication date: 12 April 2010
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-009-0091-7
Elliptic equations on manifolds, general theory (58J05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items
Hamilton-Souplet-Zhang's gradient estimates for two weighted nonlinear parabolic equations ⋮ Gradient estimates for a nonlinear elliptic equation on complete noncompact Riemannian manifold ⋮ Gradient estimates for the porous medium equations on Riemannian manifolds ⋮ Gradient estimates of a nonlinear elliptic equation for the $V$-Laplacian on noncompact Riemannian manifolds ⋮ Gradient estimates for a class of elliptic and parabolic equations on Riemannian manifolds ⋮ Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds. I: Bakry-Émery curvature bounded below ⋮ Gradient estimate of a Poisson equation under the almost Ricci solitons ⋮ Gradient estimates and differential Harnack inequalities for a nonlinear parabolic equation on Riemannian manifolds ⋮ Gradient estimates for a simple nonlinear heat equation on manifolds ⋮ Gradient estimates for some semi-linear hypoelliptic equations ⋮ Interpolating between constrained Li-Yau and Chow-Hamilton Harnack inequalities for a nonlinear parabolic equation ⋮ Gradient estimates for a simple parabolic Lichnerowicz equation ⋮ Harnack inequalities for simple heat equations on Riemannian manifolds ⋮ Gradient estimates for a parabolic 𝑝-Laplace equation with logarithmic nonlinearity on Riemannian manifolds ⋮ Liouville type theorems of a nonlinear elliptic equation for the \(V\)-Laplacian ⋮ Unnamed Item ⋮ Yau type gradient estimates for \(\Delta u + au (\log u)^p + bu = 0\) on Riemannian manifolds ⋮ Liouville-type theorem for the drifting Laplacian operator ⋮ Hamilton-Souplet-Zhang's gradient estimates for two types of nonlinear parabolic equations under the Ricci flow ⋮ Gradient estimates of porous medium equations under the Ricci flow ⋮ Gradient estimates for a nonlinear parabolic equation on complete smooth metric measure spaces ⋮ Hamilton type gradient estimate for a nonlinear diffusion equation on smooth metric measure spaces ⋮ A new local gradient estimate for a nonlinear equation under integral curvature condition on manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gradient estimates for a nonlinear parabolic equation under Ricci flow.
- An extension of E. Hopf's maximum principle with an application to Riemannian geometry
- Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
- Gradient estimate for Schrödinger operators on manifolds
- Convexity of the first eigenfunction of the drifting Laplacian operator and its applications
- Convex eigenfunction of a drifting Laplacian operator and the fundamental gap
- A matrix Harnack estimate for the heat equation
- A comparison theorem for an elliptic operator
- Gradient estimates and a Liouville type theorem for the Schrödinger operator
- Gradient estimates for a nonlinear parabolic equation on complete non-compact Riemannian manifolds
- Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
- Pseudolocality for the Ricci Flow and Applications
- Differential equations on riemannian manifolds and their geometric applications
- Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
- The geometry of Markov diffusion generators