论文标题

一类年龄结构化扩散种群方程的演化系统

An Evolution System for a Class of Age-Structured Diffusive Population Equations

论文作者

Walker, Christoph

论文摘要

Kato关于与双曲方程相关的强连续演化系统的构建理论应用于线性方程,该方程描述了年龄结构化的人群,该年龄结构化受到时间依赖性扩散。进化系统用于为相应的准线性方程的适当性提供条件。

Kato's theory on the construction of strongly continuous evolution systems associated with hyperbolic equations is applied to the linear equation describing an age-structured population that is subject to time-dependent diffusion. The evolution system is used to provide conditions for the well-posedness of the corresponding quasilinear equation.

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