L. Farah

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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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math.AP2008★ 13 cited

Global rough solutions to the cubic nonlinear Boussinesq equation

Luiz Gustavo Farah, Felipe Linares

We prove that the initial value problem (IVP) for the cubic defocusing nonlinear Boussinesq equation $u_{tt} - u_{xx} + u_{xxxx} - (∣ u ∣^{2} u)_{xx} = 0$ on the real line is globally well-pose…

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{ $H^{s}$ } for negative indices of $s$ .