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

Emmanuel Maitre

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arXiv · math/0107026

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

Emmanuel Maitre

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Abstract

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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Emmanuel Maitre. 2002-02-06. On a nonlinear compactness lemma in L^p(0,T;B). https://arxiv.org/abs/math/0107026

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