Spreading speeds of almost periodic KPP equations with slow decay initial values
Linfeng Xu
University of Science and Technology of China Peoples Rep of China
Co-Author(s): Xing Liang, Tao Zhou
Abstract:
This talk is concerned with the long-time behavior of the Fisher-KPP equations with slowly decaying initial data in an almost periodic medium.
We mainly focus on two types of initial conditions: those exhibiting exponentially decaying and those decaying more slowly than any exponentially functions.
Employing the homogenization method and Hamilton-Jacobi appraoch, we provide a unified framwork to analyze the initial value problems for both cases.
We demonstrate that the level sets of the solution can be characterized by the generalized principal eigenvalues of the linearized operator and the behavior of the initial date at infinity only.
