Growth--fragmentation--coagulation equations with unbounded coagulation kernels

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.

References in corpus (4)

• Eigenelements of a General Aggregation-Fragmentation Model
• Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate
• Long term dynamics of the discrete growth-decay-fragmentation equation
• Global solutions of continuous coagulation-fragmentation equations with unbounded coefficients

Cited by in corpus (2)

• On spectral gaps of growth-fragmentation semigroups in higher moment spaces
• Explicit solutions to some fragmentation equations with growth or decay