Maybe my question isI have a bit fuzzy. It is well known thatquestion about Aubin-Lions Lemma is a useful theory: http://en.wikipedia.org/wiki/Aubin_Lions_lemma . It has been discussed in Simon's paper(AMPA 1987). But I have seen some other version of this lemma which is not included in this paper, dose anybody know recent development of this lemma?
P.S. A more specific question is: Inthe standard Aubin-Lions Lemma, itlemma need thesethose Banach Space be reflexive spaces, are there any resultsversion of Aubin-Lions without reflexivity?
Standard aubin-lions:http://en.wikipedia.org/wiki/Aubin-Lions_lemma