A note on bilinear estimates and regularity of flow maps for nonlinear dispersive equations

Herr, Sebastian

doi:10.1090/S0002-9939-08-09238-1

A note on bilinear estimates and regularity of flow maps for nonlinear dispersive equations
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Proc. Amer. Math. Soc. 136 (2008), 2881-2886 Request permission

Abstract:

Explicit counterexamples to bilinear estimates related to the Benjamin-Ono equation in the periodic setting are calculated for functions of zero mean value. As a consequence, certain bilinear estimates fail to hold in spite of the analyticity of the flow map. The latter has been shown recently by L. Molinet.

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