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On a non-uniqueness in fragmentation models

✍ Scribed by J. Banasiak

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
137 KB
Volume
25
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

Equations of fragmentation describing e.g. the polymer degradation, despite their apparent simplicity, have numerous non‐typical features. One of them is the existence of multiple solutions. In this paper, applying classical results of Hille and Phillips, we explain their occurrence and prove that nevertheless the uniqueness holds for a large class of physically reasonable solutions. Copyright Β© 2002 John Wiley & Sons, Ltd.

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