most citedLocal solutions in Sobolev spaces with negative indices for the "good" Boussinesq equation

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math.AP2012★ 5 cited

Global well-posedness for the k-dispersion generalized Benjamin-Ono equation

Luiz Gustavo Farah, Felipe Linares, Ademir Pastor

We consider the -dispersion generalized Benjamin-Ono equation in the supercritical case. We establish sharp conditions on the data to show global well-posedness in the energy sp…

math.AP2008★ 91 cited

Local solutions in Sobolev spaces with negative indices for the "good" Boussinesq equation

Luiz Gustavo Farah

We study the local well-posedness of the initial-value problem for the nonlinear "good" Boussinesq equation with data in Sobolev spaces \textit{} for negative indices of .