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Random attractor of the stochastic strongly damped wave equation

✍ Scribed by Zhaojuan Wang; Shengfan Zhou; Anhui Gu


Book ID
113547073
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
277 KB
Volume
17
Category
Article
ISSN
1007-5704

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Dimension of the Global Attractor for St
✍ Shengfan Zhou πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 109 KB

The existence and estimate of the upper bound of the Hausdorff dimension of the global attractor for the strongly damped nonlinear wave equation with the Dirichlet boundary condition are considered by introducing a new norm in the phase space. The gained Hausdorff dimension decreases as the damping