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arXiv · 1804.03538

Relative Entropy Method for Measure Solutions of the Growth-Fragmentation Equation

Tomasz Dębiec·Marie Doumic·Piotr Gwiazda·Emil Wiedemann
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Abstract

The aim of this study is to generalise recent results of the two last authors on en-tropy methods for measure solutions of the renewal equation to other classes of structured population problems. Specifically, we develop a generalised relative entropy inequality for the growth-fragmentation equation and prove asymptotic convergence to a steady-state solution, even when the initial datum is only a non-negative measure.

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Tomasz Dębiec, Marie Doumic, Piotr Gwiazda, Emil Wiedemann. 2018-04-10. Relative Entropy Method for Measure Solutions of the Growth-Fragmentation Equation. https://arxiv.org/abs/1804.03538

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