带有扩散项的线性人口动力学方程的Cauchy问题

The Cauchy Problem for Linear Population Dynamics Equations with Diffusion

本文研究一类具有空间结构和年龄特征的线性人口动力学方程的Cauchy问题.首先建立迹定理,随后在L^2空间证明了非负弱解的存在唯一性.

In this paper,we study the Cauchy problem of a class of linear population dynamics equations with age-character and spatial structure.First,we establish the trace application, then we prove the existence and uniqueness of positive weak solution in L^2 space.