The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
Abstract
We prove an estimation of the Kolmogorov ε-entropy in H of the unitary ball in the space V , where H is a Hilbert space and V is a Sobolev-like subspace of H. Then, by means of Zelik's result [5], an estimate of the fractal dimension of the attractors of some nonlinear parabolic equations is established.
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