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Global attractor for the autonomous wave equation in ℝnwith continuous nonlinearity

✍ Scribed by O. M. Stanzhyts’kyi; N. V. Horban’


Book ID
106553849
Publisher
Springer
Year
2008
Tongue
English
Weight
136 KB
Volume
60
Category
Article
ISSN
0041-5995

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Dimension of the Global Attractor for St
✍ Shengfan Zhou 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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