Logarithmic stabilisation of a multidimensional structure by the boundary

被引：1
|
作者：
Ouksel, Leila [1 ]
机构：
[1] Univ Paris 11, F-91405 Orsay, France
来源：
ASYMPTOTIC ANALYSIS | 2012年 / 80卷 / 3-4期
关键词：
logarithmic stabilisation; wave equations; Carleman inequality; interpolation inequality; HYPERBOLIC-EQUATIONS; WAVES;
D O I：
10.3233/ASY-2012-1152
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We examine the decay of the energy for wave equations on a bounded domain R-n, connected through one point to a rod modelled by a segment of R. It is shown that the energy decreases at least as the inverse logarithm of time. This result is obtained using a dissipative condition of the Neumann type on the boundary of the domain.
引用
收藏
页码：347 / 376
页数：30
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