In this paper we give an elementary proof of the unique, global-in-time solvability of the coagulation-(multiple) fragmentation equation with polynomially bounded fragmentation and particle production rates and a bounded coagulation rate. The proof relies on a new result concerning domain invariance for the fragmentation semigroup which is based on a simple monotonicity argument.
|Number of pages||16|
|Journal||Proceedings of the Royal Society of Edinburgh: Section A Mathematics|
|Early online date||3 Jun 2011|
|Publication status||Published - Jun 2011|
- semigroups of operators
- strong solutions
- semilinear Cauchy problems