Growth–fragmentation–coagulation equations with unbounded coagulation kernels
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Date
Authors
Banasiak, Jacek
Lamb, W.
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Volume Title
Publisher
Royal Society
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.
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Keywords
Growth–fragmentation–coagulation equation, Unbounded coagulation kernels, Regularization, C0-semigroups, Semilinear problems
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Citation
Banasiak, J. & Lamb, W. 2020, 'Growth–fragmentation–coagulation equations with unbounded coagulation kernels', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 378, no. 2185.