Banasiak, Jacek and Lamb, Wilson (2011) Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 141 (03). pp. 465-480.
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Official URL: http://dx.doi.org/10.1017/S0308210509001255
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.
| Item type: | Article |
|---|---|
| ID code: | 29093 |
| Keywords: | semigroups of operators , coagulations, strong solutions, semilinear Cauchy problems, Probabilities. Mathematical statistics |
| Subjects: | Science > Mathematics > Probabilities. Mathematical statistics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Pure Administrator |
| Date Deposited: | 07 Mar 2011 23:25 |
| Last modified: | 05 May 2013 05:09 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/29093 |
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