Abstract
The existence and Hausdorff dimension of the global attractor for discretization of a damped wave equation with the periodic nonlinearity under the periodic boundary conditions are studied for any space dimension. The obtained Hausdorff dimension is independent of the mesh sizes and the space dimension and remains small for large damping, which conforms to the physics.
Citation
Shengfan Zhou. "Attractor and dimension for discretization of a damped wave equation with periodic nonlinearity." Topol. Methods Nonlinear Anal. 15 (2) 267 - 281, 2000.
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