The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors - Sorbonne Université Access content directly
Preprints, Working Papers, ... Year : 2017

The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors

Alain Haraux
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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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hal-01504881 , version 1 (10-04-2017)

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Alain Haraux, María Anguiano. The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors. 2017. ⟨hal-01504881⟩
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