Harnack Estimate For Positive Solutions to a Nonlinear Equation Under Geometric Flow

DOI10.5666/KMJ.2021.61.3.631zbMath1485.35083arXiv1901.04004MaRDI QIDQ5061784

Shahroud Azami, Ghodratallah Fasihi Ramandi

Publication date: 14 March 2022

Full work available at URL: https://arxiv.org/abs/1901.04004

zbMATH Keywords

geometric flowHarnack estimate

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Semilinear parabolic equations (35K58) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (1)

Constant rank theorems for Li-Yau-Hamilton type matrices of heat equations

Cites Work

• The Harnack estimate for the Ricci flow
• Gradient estimates for positive solutions of the heat equation under geometric flow
• An extension of E. Hopf's maximum principle with an application to Riemannian geometry
• A gradient estimate for all positive solutions of the conjugate heat equation under Ricci flow
• Gradient estimates for solutions of the heat equation under Ricci flow
• On the parabolic kernel of the Schrödinger operator
• Gradient estimates for a nonlinear parabolic equation and Liouville theorems
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