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Remarks on the well-posedness of the Euler equations in the Triebel-Lizorkin spaces

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 نشر من قبل Kuijie Li
 تاريخ النشر 2019
  مجال البحث
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We prove the continuous dependence of the solution maps for the Euler equations in the (critical) Triebel-Lizorkin spaces, which was not shown in the previous works(cite{Ch02, Ch03, ChMiZh10}). The proof relies on the classical Bona-Smith method as cite{GuLiYi18}, where similar result was obtained in critical Besov spaces $B^1_{infty,1}$.



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