具有测量数据的更新方程的广义熵方法
Generalized Entropy Method for the Renewal Equation with Measure Data
摘要：
我们研究了所谓的McKendrick-Von Foerster或更新方程的长时间渐近性，这是结构化种群动力学中经常考虑的一个简单模型。与以前的工作相比，我们可以接受一个有界的测量作为初始数据。为此，我们应用的技术，从微积分的变化，以前没有在这种情况下。我们演示了如何广义相对熵方法可以细化的氡测量框架。
英文摘要：
We study the long-time asymptotics for the so-called McKendrick-Von Foerster or renewal equation, a simple model frequently considered in structured population dynamics. In contrast to previous works, we can admit a bounded measure as initial data. To this end, we apply techniques from the calculus of variations that have not been employed previously in this context. We demonstrate how the generalized relative entropy method can be refined in the Radon measure framework.
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