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What is Gradient Estimates for Weighted Heat Equations about?

This paper derives local gradient estimates for positive solutions of a weighted parabolic partial differential equation under the weighted Yamabe flow, leading to global gradient estimates, Harnack inequalities, and Gaussian bounds for the heat kernel. The research builds on previous works in the field, providing significant applications and results related to the convergence of geometric flows. Key theorems include Li-Yau and Hamilton-type gradient estimates, which enhance the understanding of the behavio

Author

Nguyen Tien Manh

Language

EN