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Dimension estimate for the global attractor of an evolution equation. (English) Zbl 1234.35039
Summary: We estimate the dimension of the global attractor of an evolution equation by the study of the evolution of the $n$-dimensional volumes under the flow. We compare these results with the estimate of the dimension of the inertial manifold.

35B41Attractors (PDE)
35B40Asymptotic behavior of solutions of PDE
37L30Attractors and their dimensions, Lyapunov exponents
Full Text: DOI
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