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On classical solutions of the KdV equation

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 نشر من قبل Alexei Rybkin
 تاريخ النشر 2019
  مجال البحث فيزياء
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begin{abstract} We show that if the initial profile $qleft( xright) $ for the Korteweg-de Vries (KdV) equation is essentially semibounded from below and $int^{infty }x^{5/2}leftvert qleft( xright) rightvert dx<infty,$ (no decay at $-infty$ is required) then the KdV has a unique global classical solution given by a determinant formula. This result is best known to date. end{abstract}



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