On the application of substochastic semigroup theory to fragmentation models with mass loss

被引：22
作者：
Banasiak, J
Lamb, W
机构：
[1] Univ Strathclyde, Dept Math, Glasgow G1 1XH, Lanark, Scotland
[2] Univ Natal, Dept Math & Appl Math, ZA-4041 Durban, South Africa
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 284卷 / 01期
关键词：
semigroups of operators; abstract Cauchy problem; multiple fragmentation with mass;
D O I：
10.1016/S0022-247X(03)00154-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A linear integro-differential equation modelling multiple fragmentation with inherent mass loss is investigated by means of substochastic semigroup theory. The existence of a semigroup is established and, under natural conditions on certain coefficients, the generator of this semigroup is identified. This yields, in particular, a validation of the formal mass-loss rate equation for the model. (C) 2003 Elsevier Inc. All rights reserved.
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页码：9 / 30
页数：22
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