The divergence equation with L ∞ source

Abstract

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On the continuity of Fourier multipliers on W˙l,1(Rd<

“…(In the case of the application of Lemma 19 given in [10] Proof. The proof follows the ideas in [2]. By applying Lemma 18 to the sequence (z k ) 1≤k≤N , where…”

“…We conclude that such solutions do not exist if m is not continuous. Here, the technique is similar to the one in [2], which was in turn inspired by the one in [10].…”