Title of article
Sharp ill-posedness result for the periodic Benjamin–Ono equation
Author/Authors
Luc Molinet، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
29
From page
3488
To page
3516
Abstract
We prove the discontinuity for the weak L2(T)-topology of the flow-map associated with the periodic
Benjamin–Ono equation. This ensures that this equation is ill-posed in Hs (T) as soon as s < 0 and thus
completes exactly the well-posedness result obtained in Molinet (2008) [12].
© 2009 Elsevier Inc. All rights reserved.
Keywords
Cauchy problem , Continuity with respect to initial data , Benjamin–Ono equation , Ill-posedness result
Journal title
Journal of Functional Analysis
Serial Year
2009
Journal title
Journal of Functional Analysis
Record number
840032
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