A comparison between two theories for multi-valued semiflows and their asymptotic behaviour

被引：67
|
作者：
Caraballo, T
Marín-Rubio, P
Robinson, JC
机构：
[1] Univ Sevilla, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain
[2] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England
来源：
SET-VALUED ANALYSIS | 2003年 / 11卷 / 03期
关键词：
generalized and multi-valued semiflows; partial differential equations without uniqueness; differential inclusions;
D O I：
10.1023/A:1024422619616
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a comparison between two abstract frameworks in which one can treat multi-valued semiflows and their asymptotic behaviour. We compare the theory developed by Ball ( 1997) to treat equations whose solutions may not be unique, and that due to Melnik and Valero ( 1998) tailored more for differential inclusions. Although they deal with different problems, the main ideas seem quite similar. We study their relationship in detail and point out some essential technical problems in trying to apply Ball's theory to differential inclusions.
引用
收藏
页码：297 / 322
页数：26
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