On a nonlinear compactness lemma in L^p(0,T;B)

Details On a nonlinear compactness lemma in L^p(0,T;B) On a nonlinear compactness lemma in L^p(0,T;B)

2001-07-04

arxiv.org/abs/math/0107026v2

Mathematics

Functional Analysis

5 pages, LaTeX

Scientific paper

We consider a nonlinear counterpart of a compactness lemma of J. Simon, which
arises naturally in the study of doubly nonlinear equations of
elliptic-parabolic type. Our work was motivated by previous results J. Simon,
recently sharpened by H. Amann, in the linear setting, and by a nonlinear
compactness argument of H.W. Alt and S. Luckhaus.

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