Discrete fragmentation systems in weighted \(\ell^1\) spaces

DOI10.1007/s00028-020-00561-6OpenAlexW3125702831MaRDI QIDQ2021531

Lyndsay Kerr, Matthias Langer, Wilson Lamb

Publication date: 27 April 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.04248

zbMATH Keywords

analytic semigrouplong-time behaviourpositive semigroupdiscrete fragmentationSobolev towers

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Chemical kinetics in thermodynamics and heat transfer (80A30) Linear differential equations in abstract spaces (34G10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items

A note on the discrete coagulation equations with collisional breakage

Cites Work

• Unnamed Item
• Unnamed Item
• Analytic fragmentation semigroups and continuous coagulation-fragmentation equations with unbounded rates
• Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates
• Discrete fragmentation with mass loss
• The discrete fragmentation equation: semigroups, compactness and asynchronous exponential growth
• Positive operator semigroups. From finite to infinite dimensions
• On an irregular dynamics of certain fragmentation semigroups
• A perturbation theorem for positive contraction semigroups on \(L^ 1\)-spaces with applications to transport equations and Kolmogorov's differential equations
• Strongly differentiable solutions of the discrete coagulation-fragmentation equation
• Convergence to equilibrium in a system of reacting polymers
• Perturbation of positive semigroups
• Asymptotic behavior of solutions to the coagulation-fragmentation equations. II: Weak fragmentation
• Discrete growth-decay-fragmentation equation: well-posedness and long-term dynamics
• On substochastic C₀-semigroups and their generators
• Some Spectral Properties for the Asymptotic Behavior of Semigroups Connected to Population Dynamics
• One-Parameter Semigroups for Linear Evolution Equations
• On a non-uniqueness in fragmentation models
• On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application

This page was built for publication: Discrete fragmentation systems in weighted \(\ell^1\) spaces