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.
Complete list of metadatas

Cited literature [5 references]  Display  Hide  Download

https://hal.sorbonne-universite.fr/hal-01504881
Contributor : Alain Haraux <>
Submitted on : Monday, April 10, 2017 - 4:29:09 PM
Last modification on : Thursday, March 21, 2019 - 1:06:03 PM
Long-term archiving on: Tuesday, July 11, 2017 - 2:12:40 PM

Files

Anguiano_Haraux_14.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01504881, version 1
  • ARXIV : 1704.02891

Citation

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

Share

Metrics

Record views

1131

Files downloads

129