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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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | Colombia |
| Institución: | Universidad del Rosario |
| Repositorio: | Repositorio EdocUR - U. Rosario |
| Idioma: | inglés |
| OAI Identifier: | oai:repository.urosario.edu.co:10336/22733 |
| Acceso en línea: | https://doi.org/10.1007/s00013-013-0552-x https://repository.urosario.edu.co/handle/10336/22733 |
| Access Level: | acceso abierto |
| Palabra clave: | Aubin-Lions Lemma Compactness Lebesgue-Bochner spaces Non-reflexive Banach spaces |
| Sumario: | 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. |
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