This issuePrevious ArticleBranches of harmonic solutions to periodically perturbed coupled differential equations on manifoldsNext ArticleSmall data scattering for the Klein-Gordon equation with cubic convolution nonlinearity
We discuss ill-posedness issues for the initial value problem
associated to the Benney system. To prove our results we use the
method introduced by Kenig, Ponce and Vega  to show
ill-posedness for some canonical dispersive equations.