An alternative proof of the Aubin-Lions lemma
Using a generalized version of the Weyl-Riesz criterion for compactness of subsets of Lebesgue-Bochner spaces, we present in this short note an alternative proof of a result by J. Simon [4] that extends the classical result by J.P. Aubin and J.L. Lions on compact embeddings in Lebesgue-Bochner space...
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| Formato: | Artículo (Article) |
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| Acceso en línea: | https://repository.urosario.edu.co/handle/10336/22733 https://doi.org/10.1007/s00013-013-0552-x |
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ir-10336-227332021-06-11T04:26:26Z An alternative proof of the Aubin-Lions lemma Serrano, Rafael Aubin-Lions Lemma Compactness Lebesgue-Bochner spaces Non-reflexive Banach spaces Using a generalized version of the Weyl-Riesz criterion for compactness of subsets of Lebesgue-Bochner spaces, we present in this short note an alternative proof of a result by J. Simon [4] that extends the classical result by J.P. Aubin and J.L. Lions on compact embeddings in Lebesgue-Bochner spaces to the non-reflexive Banach space case. © 2013 Springer Basel. 2013 2020-05-25T23:57:44Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 0003889X 14208938 https://repository.urosario.edu.co/handle/10336/22733 https://doi.org/10.1007/s00013-013-0552-x eng info:eu-repo/semantics/openAccess application/pdf instname:Universidad del Rosario reponame:Repositorio Institucional EdocUR |
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EdocUR - Universidad del Rosario |
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DSpace |
| language |
Inglés (English) |
| topic |
Aubin-Lions Lemma Compactness Lebesgue-Bochner spaces Non-reflexive Banach spaces |
| spellingShingle |
Aubin-Lions Lemma Compactness Lebesgue-Bochner spaces Non-reflexive Banach spaces Serrano, Rafael An alternative proof of the Aubin-Lions lemma |
| description |
Using a generalized version of the Weyl-Riesz criterion for compactness of subsets of Lebesgue-Bochner spaces, we present in this short note an alternative proof of a result by J. Simon [4] that extends the classical result by J.P. Aubin and J.L. Lions on compact embeddings in Lebesgue-Bochner spaces to the non-reflexive Banach space case. © 2013 Springer Basel. |
| format |
Artículo (Article) |
| author |
Serrano, Rafael |
| author_facet |
Serrano, Rafael |
| author_sort |
Serrano, Rafael |
| title |
An alternative proof of the Aubin-Lions lemma |
| title_short |
An alternative proof of the Aubin-Lions lemma |
| title_full |
An alternative proof of the Aubin-Lions lemma |
| title_fullStr |
An alternative proof of the Aubin-Lions lemma |
| title_full_unstemmed |
An alternative proof of the Aubin-Lions lemma |
| title_sort |
alternative proof of the aubin-lions lemma |
| publishDate |
2013 |
| url |
https://repository.urosario.edu.co/handle/10336/22733 https://doi.org/10.1007/s00013-013-0552-x |
| _version_ |
1702626585490751488 |
| score |
12,131701 |