Some variants of the classical Aubin-Lions Lemma

Ayman Moussa

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arXiv · 1401.7231

Some variants of the classical Aubin-Lions Lemma

Ayman Moussa

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Abstract

This paper explores two generalizations of the classical Aubin-Lions Lemma. First we give a sufficient condition to commute weak limit and multiplication of two functions. We deduce from this criteria a compactness Theorem for degenerate parabolic equations. Secondly, we state and prove a compactness Theorem for non-cylindrical domains, including the case of dual estimates involving only divergence-free test functions.

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Ayman Moussa. 2014-12-07. Some variants of the classical Aubin-Lions Lemma. https://arxiv.org/abs/1401.7231

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