GRADIENT ESTIMATES VIA TWO-POINT FUNCTIONS FOR PARABOLIC EQUATIONS UNDER RICCI FLOW

DOI10.1017/S0004972720000532zbMath1446.53079arXiv2001.01024WikidataQ125850525 ScholiaQ125850525MaRDI QIDQ5118593

Min Chen

Publication date: 26 August 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01024

zbMATH Keywords

gradient estimateparabolic equationRicci flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Viscosity solutions to PDEs (35D40) Ricci flows (53E20)

Cites Work

• Unnamed Item
• Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue
• Generalized motion of level sets by functions of their curvatures on Riemannian manifolds
• Gradient estimates for solutions of the heat equation under Ricci flow
• Gradient estimates via two-point functions for elliptic equations on manifolds
• Time-interior gradient estimates for quasilinear parabolic equations
• A gradient bound and a liouville theorem for nonlinear poisson equations
• A gradient bound for entire solutions of quasi‐linear equations and its consequences

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