Relative Entropy Method for Measure Solutions of the Growth-Fragmentation Equation
Analysis of PDEs
2018-04-11 v1
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.
Keywords
Cite
@article{arxiv.1804.03538,
title = {Relative Entropy Method for Measure Solutions of the Growth-Fragmentation Equation},
author = {Tomasz Dębiec and Marie Doumic and Piotr Gwiazda and Emil Wiedemann},
journal= {arXiv preprint arXiv:1804.03538},
year = {2018}
}