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arXiv · 1704.02891

The $\epsilon$-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors

Alain Haraux·María Anguiano
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Abstract

We prove an estimation of the Kolmogorov $\epsilon$-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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Alain Haraux, María Anguiano. 2017-04-10. The $\epsilon$-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors. https://arxiv.org/abs/1704.02891

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