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Ill-posedness results for generalized Boussinesq equations

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 نشر من قبل Dan Geba
 تاريخ النشر 2012
  مجال البحث
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In this article we present ill-posedness results for generalized Boussinesq equations, which incorporate also the ones obtained by the authors for the classical good Boussinesq equation (arXiv:1202.6671). More precisely, we show that the associated flow map is not smooth for a range of Sobolev indices, thus providing a threshold for the regularity needed to perform a Picard iteration for these problems.



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