Local elliptic gradient estimates for a nonlinear parabolic equation under the Ricci flow

DOI10.1016/j.jmaa.2019.05.006zbMath1416.35054OpenAlexW2945213592WikidataQ126125763 ScholiaQ126125763MaRDI QIDQ2315046

Liangdi Zhang, Fei Yang

Publication date: 31 July 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.05.006

zbMATH Keywords

time dependent metric

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Positive solutions to PDEs (35B09)

Related Items (3)

Hamilton type gradient estimates for a general type of nonlinear parabolic equations on Riemannian manifolds ⋮ Gradient estimates for a nonlinear parabolic equation on complete smooth metric measure spaces ⋮ Gradient estimates for a general type of nonlinear parabolic equations under geometric conditions and related problems

Cites Work

• Elliptic gradient estimates for a nonlinear heat equation and applications
• Harnack estimates for a heat-type equation under the Ricci flow
• Gradient estimates for the heat equation under the Ricci flow
• On the parabolic kernel of the Schrödinger operator
• A matrix Harnack estimate for the heat equation
• Harnack estimates for a nonlinear parabolic equation under Ricci flow
• SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
• Hamilton’s gradient estimate for the heat kernel on complete manifolds
• Unnamed Item

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