Article
The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
Author/s | Anguiano Moreno, María
![]() ![]() ![]() ![]() ![]() ![]() ![]() Haraux, Alain |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2017-09 |
Deposit Date | 2018-05-02 |
Published in |
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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, an estimate of the fractal ... 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, an estimate of the fractal dimension of the attractors of some nonlinear parabolic equations is established. |
Funding agencies | Junta de Andalucía European Commission (EC) |
Project ID. | P12-FQM-2466
![]() H2020-EU.1.1.-639227 ![]() |
Citation | Anguiano Moreno, M. y Haraux, A. (2017). The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors. Evolution Equations and Control Theory, 6 (3), 345-356. |
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