L. Farah

activity

20082026

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

91 citations · 311 across the 34 of their papers we have counts for

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Showing 2012Show all

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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 $k$ -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.AP2012

On well-posedness and wave operator for the gKdV equation

Luiz Gustavo Farah, Ademir Pastor

We consider the generalized Korteweg-de Vries (gKdV) equation $\partial_{t} u + \partial_{x}^{3} u + μ \partial_{x} (u^{k + 1}) = 0$ , where $k > 4$ is an integer number and $μ = \pm 1$ . We give an alterna…