An alternative proof of the Aubin-Lions lemma Academic Article

journal

  • Archiv der Mathematik

abstract

  • 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.

publication date

  • 2013-9-1

edition

  • 101

keywords

  • Alternatives
  • Banach space
  • Compact Embedding
  • Compactness
  • Henri Léon Lebésgue
  • Lemma
  • Subset

International Standard Serial Number (ISSN)

  • 0003-889X

number of pages

  • 5

start page

  • 253

end page

  • 257