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Low regularity global well-posedness for the two-dimensional Zakharov system

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 نشر من قبل Hartmut Pecher
 تاريخ النشر 2009
  مجال البحث
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The two-dimensional Zakharov system is shown to have a unique global solution for data without finite energy if the L^2 - norm of the Schrodinger part is small enough. The proof uses a refined I-method originally initiated by Colliander, Keel, Staffilani, Takaoka and Tao. A polynomial growth bound for the solution is also given.



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