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Sharp ill-posedness result for the periodic Benjamin-Ono equation |
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| Authors: | Luc Molinet |
| Institution: | L.M.P.T., UMR 6083, U.F.R. des Sciences et Techniques, Université de Tours, Parc de Grandmont, 37200 Tours, France |
| 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]. |
| Keywords: | Benjamin-Ono equation Cauchy problem Ill-posedness result Continuity with respect to initial data |
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