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Analytic fragmentation semigroups and continuous coagulation–fragmentation equations with unbounded rates

✍ Scribed by Jacek Banasiak; Wilson Lamb


Book ID
113721895
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
196 KB
Volume
391
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES


A global existence theorem for the gener
✍ I. W. Stewart; E. Meister 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 830 KB

## Communicated by E. Meister In this article an existence. theorem is proved for the coagulation-fragmentation equation with unbounded kernelratesSolutionsareshown tobeinthespace.X+ = {ceL':S,"(l +x)lc(x)ldx < co} wheneverthe kernels satisfy certain growth propertics and the non-negative initial

Existence and uniqueness results for the
✍ Wilson Lamb 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB 👁 1 views

## Abstract A non‐linear integro‐differential equation modelling coagulation and fragmentation is investigated using the theory of strongly continuous semigroups of operators. Under the assumptions that the coagulation kernel is bounded and the overall rate of fragmentation satisfies a linear growt