Complexity of large time behaviour of evolution equations with bounded data

被引：33
作者：
Vázquez, JL
Zuazua, E
机构：
[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain
[2] Univ Complutense, Dept Matemat Aplicada, E-28049 Madrid, Spain
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2002年 / 23卷 / 02期
关键词：
asymptotic behaviour; scaling; omega-limit; heat equation; hyperbolic conservation laws;
D O I：
10.1142/S0252959902000274
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The authors study the asymptotic behaviour of solutions of the heat equation and a number of evolution equations using scaling techniques. It is proved that in the framework of bounded data stabilization need not occur and the general asymptotic behaviour is complex. This behaviour reflects for large times, even on compact sets, the complexity of the initial data at infinity.
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页码：293 / 310
页数：18
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