AI 中文总结
本文针对ℝⁿ上FitzHugh-Nagumo方程的正解建立了Li-Yau-Hamilton型微分Harnack估计，并借此证明了该方程正解的经典Harnack不等式及行波解速度下界等性质。
AI 中文摘要
本文针对ℝⁿ上FitzHugh-Nagumo方程的正解，建立了Li-Yau-Hamilton（LYH）型微分Harnack估计。随后，利用该LYH微分Harnack不等式证明了方程正解的若干性质，包括经典Harnack不等式和行波解速度的下界。
英文摘要
In this paper we develop a Li-Yau-Hamilton (LYH) type differential Harnack estimate for positive solutions to the FitzHugh-Nagumo equation on $\mathbb{R}^n$. We then use our LYH-differential Harnack inequality to prove several properties about positive solutions to the equation, including a classical Harnack inequality and a lower bound for the speed of traveling wave solutions.
