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Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation

Published online by Cambridge University Press:  03 June 2011

Jacek Banasiak  and
Wilson Lamb
Jacek Banasiak
Affiliation:
Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, UK
Wilson Lamb
Affiliation:
Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, UK ([email protected])
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Abstract

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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 3 , June 2011 , pp. 465 - 480
Copyright
Copyright © Royal Society of Edinburgh 2011

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