GRADIENT ESTIMATES FOR HEAT-TYPE EQUATIONS ON MANIFOLDS EVOLVING BY THE RICCI FLOW

DOI10.12732/IJPAM.V93I3.14zbMath1304.35354arXiv1409.1038OpenAlexW1982137095MaRDI QIDQ2878921

Abimbola Abolarinwa

Publication date: 5 September 2014

Published in: International Journal of Pure and Apllied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1038

zbMATH Keywords

Laplace-Beltrami operatorconjugate heat equationHarnack inequalitiesLaplacian comparison theorem

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Quasilinear parabolic equations (35K59)

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Differential Harnack estimates for conjugate heat equation under the Ricci flow ⋮ Sobolev-type inequalities and heat kernel bounds along the geometric flow

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