论文标题
非本地扩散的Fisher-KPP方程的Bramson校正
The Bramson correction for Fisher--KPP equations with nonlocal diffusion
论文作者
论文摘要
我们建立了与非本地扩散的Fisher-KPP方程的溶液位置的对数Bramson校正。带有阶跃初始数据的解决方案通常类似于位置处的前部$ C _ {*} t - \ frac {3} {2λ_{*}} \ log t + t + t + \ m马理{o}（1）$ for explicit startants $ c _ {*} $ {*} $ and $λ__} $。但是，某些奇异的扩散表现出更多的外来行为。
We establish the logarithmic Bramson correction to the position of solutions to the Fisher--KPP equation with nonlocal diffusion. Solutions with step-like initial data typically resemble a front at position $c_{*} t - \frac{3}{2 λ_{*}} \log t + \mathcal{O}(1)$ for explicit constants $c_{*}$ and $λ_{*}$. However, certain singular diffusions exhibit more exotic behavior.
