On a non-uniqueness in fragmentation models

被引：28

作者：

Banasiak, J ^{[1
]}

机构：

[1] Univ Natal, Sch Math & Stat Sci, ZA-4041 Durban, South Africa

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2002年 / 25卷 / 07期

关键词：

conservative semigroups; fragmentation model; ill-posed problems;

D O I：

10.1002/mma.301

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 (C) 2002 John Wiley Sons, Ltd.

引用

页码：541 / 556

页数：16

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