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...

Full description

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)
Description
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.