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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Detalles Bibliográficos
Autor Principal: Serrano, Rafael
Formato: Artículo (Article)
Lenguaje:Inglés (English)
Publicado: 2013
Materias:
Acceso en línea:https://repository.urosario.edu.co/handle/10336/22733
https://doi.org/10.1007/s00013-013-0552-x
Descripción
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.