Gradient estimates for a simple nonlinear heat equation on manifolds

DOI10.1080/00036811.2015.1120290zbMath1359.53030arXiv1009.0604OpenAlexW2962697612WikidataQ58254861 ScholiaQ58254861MaRDI QIDQ2965796

Li Ma

Publication date: 3 March 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0604

zbMATH Keywords

gradient estimatepositive solutionnonlinear heat equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

Harnack inequalities for simple heat equations on Riemannian manifolds ⋮ New results about the lambda constant and ground states of the \(W\)-functional

Cites Work

• The conjugate heat equation and ancient solutions of the Ricci 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
• A uniform bound for the solutions to a simple nonlinear equation on Riemannian manifolds
• On the parabolic kernel of the Schrödinger operator
• The entropy formula for linar heat equation
• Gradient estimates for a nonlinear parabolic equation on complete non-compact Riemannian manifolds
• Gradient estimate for the degenerate parabolic equation \(u_t=\Delta F(u)+H(u)\) on manifolds
• Differential Harnack estimates for time-dependent heat equations with potentials
• Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
• Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
• Unnamed Item

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