A Note on Bilinear Estimates and Regularity of Flow Maps for Nonlinear Dispersive Equations
نویسنده
چکیده
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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تاریخ انتشار 2008