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Well-posedness for one-dimensional derivative nonlinear Schrodinger equations

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 نشر من قبل Chengchun Hao Dr.
 تاريخ النشر 2008
  مجال البحث
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 تأليف Chengchun Hao




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In this paper, we investigate the one-dimensional derivative nonlinear Schrodinger equations of the form $iu_t-u_{xx}+ilambdaabs{u}^k u_x=0$ with non-zero $lambdain Real$ and any real number $kgs 5$. We establish the local well-posedness of the Cauchy problem with any initial data in $H^{1/2}$ by using the gauge transformation and the Littlewood-Paley decomposition.



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