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Discrete Fourier restriction associated with KdV equations

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 نشر من قبل Xiaochun Li
 تاريخ النشر 2011
  مجال البحث
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In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz estimates are obtained. We also establish the local well-posedness for the periodic generalized Korteweg-de Vries equation with nonlinear term $ F(u)p_x u$ provided $Fin C^5$ and the initial data $phiin H^s$ with $s>1/2$.



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