Banasiak, JacekLamb, W.2021-09-172021-09-172020-11Banasiak, 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. 2185.1364-503X (print)1471-2962 (online)10.1098/rsta.2019.0612http://hdl.handle.net/2263/81892In 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.en© 2020 The Author(s). Published by the Royal Society. All rights reserved.Growth–fragmentation–coagulation equationUnbounded coagulation kernelsRegularizationC0-semigroupsSemilinear problemsPostprint Article