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Random Attractor for Damped Nonlinear Wave Equations with White Noise

โœ Scribed by Zhou, Shengfan; Yin, Fuqi; Ouyang, Zigen


Book ID
118203434
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
294 KB
Volume
4
Category
Article
ISSN
1536-0040

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Dimension of the Global Attractor for St
โœ Shengfan Zhou ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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