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...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2013
- Institución:
- Universidad del Rosario
- Repositorio:
- Repositorio EdocUR - U. Rosario
- Idioma:
- eng
- 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
- Palabra clave:
- Aubin-Lions Lemma
Compactness Lebesgue-Bochner spaces
Non-reflexive Banach spaces
- Rights
- License
- Abierto (Texto Completo)
| Summary: | 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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