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An alternative proof of the Aubin-Lions lemma

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Publication:378888
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DOI10.1007/s00013-013-0552-xzbMath1287.46033OpenAlexW2008894288WikidataQ124792347 ScholiaQ124792347MaRDI QIDQ378888

Rafael Serrano

Publication date: 12 November 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0552-x


zbMATH Keywords

compactnessAubin-Lions theoremLebesgue-Bochner spacesnon-reflexive Banach spaces


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Compactness in Banach (or normed) spaces (46B50)


Related Items (2)

Identification of matrix diffusion coefficient in a parabolic PDE ⋮ Abstract-valued Orlicz spaces of range-varying type



Cites Work

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  • Compact sets in the space \(L^ p(0,T;B)\)
  • Compact Perturbations of m-Accretive Operators in General Banach Spaces
  • Nonlinear partial differential equations with applications


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