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The IVP for the Benjamin-Ono equation in weighted Sobolev spaces II

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 نشر من قبل Gustavo Ponce
 تاريخ النشر 2011
  مجال البحث
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In this work we continue our study initiated in cite{GFGP} on the uniqueness properties of real solutions to the IVP associated to the Benjamin-Ono (BO) equation. In particular, we shall show that the uniqueness results established in cite{GFGP} do not extend to any pair of non-vanishing solutions of the BO equation. Also, we shall prove that the uniqueness result established in cite{GFGP} under a hypothesis involving information of the solution at three different times can not be relaxed to two different times.



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