Growth--fragmentation--coagulation equations with unbounded coagulation kernels
Analysis of PDEs
2021-04-28 v2 Functional Analysis
Abstract
In this paper we prove the global in time solvability of the continuous growth--fragmentation--coagulation equation with unbounded coagulation kernels, in spaces of functions having finite moments of sufficiently high order. The main tool is the recently established result on moment regularization of the linear growth--fragmentation semigroup that allows us to consider coagulation kernels whose growth for large clusters is controlled by how good the regularization is, in a similar manner to the case when the semigroup is analytic.
Cite
@article{arxiv.2006.05775,
title = {Growth--fragmentation--coagulation equations with unbounded coagulation kernels},
author = {Jacek Banasiak and Wilson Lamb},
journal= {arXiv preprint arXiv:2006.05775},
year = {2021}
}