Invariant measures of homeomorphisms and applications to the stability of an hyperbolic PDE

被引：1

作者：

Aassila, M ^{[1
]}

机构：

[1] Univ Fribourg, Math Inst, CH-1700 Fribourg, Switzerland

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2004年 / 35卷 / 01期

关键词：

stability; global existence; asymptotic bahaviour;

D O I：

10.1007/s00574-004-0005-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the invariant measures of homeomorphisms, we study in this paper the asymptotic behavior of the energy E(t) of an hyperbolic partial differential equation in a moving domain. The behavior of E(t) as t --> infinity depends essentially on the number theoretical characteristics of the rotation number of the homeomorphism.

引用

页码：83 / 122

页数：40

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