拓展里奇流中共轭热方程的Harnack不等式
Harnack Inequality for Conjugate Heat Equation in Extended Ricci Flow
摘要: 拓展里奇流是Hamilton里奇流的推广,具有强烈的几何和物理背景。本文考虑紧致的拓展里奇流的共轭热方程,用初等和直接的方法证明了其基本解的Harnack不等式。
Abstract: The extended Ricci flow is a generalization of the Hamiltonian Ricci flow with a strong geometric and physical background. In this paper, we consider the conjugate heat equation for the compact extended Ricci flow and prove Harnack’s inequality for its fundamental solution by elementary and direct methods.
文章引用:朱志宏. 拓展里奇流中共轭热方程的Harnack不等式[J]. 理论数学, 2024, 14(10): 158-162. https://doi.org/10.12677/pm.2024.1410355

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