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	Dimension of the global attractor for the damped and driven sine-Gordon equation
	Shu, Zhu ; Sheng-Fan, Zhou
	1999
英文摘要	The damped and driven sine-Gordon equation with a homogeneous Dirichlet boundary condition is considered. This system has been shown to have a compact, finite-dimensional global attractor. Moreover, an estimate of the upper bound for the dimension of the global attractor has also been given. However, this estimate is not so relevant for both large damping and small damping. A finer estimate, in terms of a new inner product, of the dimension of the global attractor is given. In terms of the new inner product, the dimension does not increase as the damping grows.; EI; 0; 3; 389-399; 37
语种	英语
出处	EI
出版者	nonlinear analysis theory methods and applications
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/158169]
专题	数学科学学院
推荐引用方式 GB/T 7714	Shu, Zhu,Sheng-Fan, Zhou. Dimension of the global attractor for the damped and driven sine-Gordon equation. 1999-01-01.

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