论文标题
量化非局部扩散方程中传播的阈值现象
Quantifying the threshold phenomena for propagation in nonlocal diffusion equations
论文作者
论文摘要
我们对在非局部扩散方程中传播的阈值现象感兴趣，并具有一些紧凑的初始数据。在所谓的双态和点火案例中，我们为这种现象提供了第一个定量估计值。结果极大地取决于分散内核的尾巴，并且可以采取多种不同形式。该策略是结合I.I.D的尾巴的尖锐估计。随机变量（尤其是来自大偏差理论）和准确的子和超溶液的构建。
We are interested in the threshold phenomena for propagation in nonlocal diffusion equations with some compactly supported initial data. In the so-called bistable and ignition cases, we provide the first quantitative estimates for such phenomena. The outcomes dramatically depend on the tails of the dispersal kernel and can take a large variety of different forms. The strategy is to combine sharp estimates of the tails of the sum of i.i.d. random variables (coming, in particular, from large deviation theory) and the construction of accurate sub-and super-solutions.
