The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
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.
| Autores: | ; |
|---|---|
| Tipo de documento: | Artículo |
| Estado: | Submitted version |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/73816 |
| Acceso en línea: | https://hdl.handle.net/11441/73816 https://doi.org/10.3934/eect.2017018 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Fractal dimension Attractors Entropy |
| _version_ | 1878735509011824640 |
|---|---|
| author | Anguiano Moreno, María |
| author2 | Haraux, Alain |
| author2_role | author |
| author_browse | Anguiano Moreno, María Haraux, Alain |
| author_facet | Anguiano Moreno, María Haraux, Alain |
| author_role | author |
| collection | idUS. Depósito de Investigación de la Universidad de Sevilla |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_7e1fa0fbae764f4b3fde0e22862f0e47 |
| institution | Universidad de Sevilla (US) |
| instname_str | Universidad de Sevilla (US) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:idus.us.es:11441/73816 |
| publishDate | 2017 |
| publishDateSort | 2017 |
| publisher | American Institute of Mathematical Sciences |
| publisherStr | American Institute of Mathematical Sciences |
| reponame_str | idUS. Depósito de Investigación de la Universidad de Sevilla |
| spelling | The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors Anguiano Moreno, María Haraux, Alain Fractal dimension Attractors Entropy 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. Junta de Andalucía European Commission, Excellent Science-European Research Council American Institute of Mathematical Sciences https://hdl.handle.net/11441/73816 https://doi.org/10.3934/eect.2017018 |
| spellingShingle | The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors Anguiano Moreno, María Fractal dimension Attractors Entropy |
| status_str | submittedVersion |
| title | The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors |
| title_full | The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors |
| title_fullStr | The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors |
| title_full_unstemmed | The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors |
| title_short | The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors |
| title_sort | The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors |
| topic | Fractal dimension Attractors Entropy |
| topic_facet | Fractal dimension Attractors Entropy |
| url | https://hdl.handle.net/11441/73816 https://doi.org/10.3934/eect.2017018 |