Explicit Solution and Fine Asymptotics for a Critical Growth-Fragmentation Equation

DOI10.1051/proc/201862030zbMath1421.35049arXiv1704.06087OpenAlexW2609506599MaRDI QIDQ4615449

Marie Doumic, Bruce van Brunt

Publication date: 28 January 2019

Published in: ESAIM: Proceedings and Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06087

zbMATH Keywords

asymptotic periodicityemblematic binary fission case

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Initial value problems for linear first-order PDEs (35F10)

Related Items (5)

Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation ⋮ Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate ⋮ Exponential ergodicity of a degenerate age-size piecewise deterministic process ⋮ On a Feynman-Kac approach to growth-fragmentation semigroups and their asymptotic behaviors ⋮ On the non existence of non negative solutions to a critical growth-fragmentation equation

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• Solutions to an advanced functional partial differential equation of the pantograph type
• Estimating the division rate of the growth-fragmentation equation with a self-similar kernel

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