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• W2182778910 abstract "In this paper, certain localized and global gradient estimates for all positive solutions to the geometric heat equation coupled to the Ricci flow either forward or backward in time are proved. As a by product, we obtain various Li-Yau type differential Harnack estimates. We also discuss the case when the diffusion operator is perturbed with the curvature operator (precisely, when the Laplacian is replaced with �−R(x,t), R being the scalar operator). This is well generalised to the case of an adjoint heat equation under the Ricci flow." @default.
• W2182778910 created "2016-06-24" @default.
• W2182778910 creator A5033412973 @default.
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• W2182778910 date "2014-01-01" @default.
• W2182778910 modified "2023-09-27" @default.
• W2182778910 title "GRADIENT ESTIMATES FOR HEAT-TYPE EQUATIONS" @default.
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• W2182778910 hasPublicationYear "2014" @default.
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