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Remark on the local ill-posedness for KdV equation. (English. Abridged French version) Zbl 0941.35097

Summary: We prove that the Cauchy problem for the KdV equation is locally ill-posed in \(\dot H^s\), \(s<-3/4\), if the flow map \(u(0)\mapsto u(t)\) is supposed to be \(C^2\).

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35R25 Ill-posed problems for PDEs
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