Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 465-480 |
| Number of pages | 16 |
| Journal | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |
| Volume | 141 |
| Issue number | 03 |
| Early online date | 3 Jun 2011 |
| DOIs | |
| Publication status | Published - Jun 2011 |
Keywords
- semigroups of operators
- coagulations
- strong solutions
- semilinear Cauchy problems
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