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

Jacek Banasiak, Wilson Lamb

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Source: Crossref

Published: Jun 1, 2011

DOI: 10.1017/s0308210509001255

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Source 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.

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Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation — Mathematical Frontier Network