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• W3217249713 abstract "Let $$(M^{n},g,e^{-phi }dv)$$ be a weighted Riemannian manifold evolving by geometric flow $$frac{partial g}{partial t}=2,h(t),,,,frac{partial phi }{partial t}=Delta phi $$ . In this paper, we obtain a series of space-time gradient estimates for positive solutions of a parabolic partial equation $$begin{aligned} (Delta _{phi }-partial _{t})u(x,t)=q(x,t)u^{a+1}(x,t)+p(x,t)A(u(x,t))),,,,,(x,t)in Mtimes [0,T], end{aligned}$$ on a weighted Riemannian manifold under geometric flow. By integrating the gradient estimates, we find the corresponding Harnack inequalities." @default.
• W3217249713 created "2021-12-06" @default.
• W3217249713 creator A5069071723 @default.
• W3217249713 date "2023-02-23" @default.
• W3217249713 modified "2023-10-17" @default.
• W3217249713 title "Gradient estimates for a weighted parabolic equation under geometric flow" @default.
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• W3217249713 doi "https://doi.org/10.1007/s13398-023-01408-8" @default.
• W3217249713 hasPublicationYear "2023" @default.
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