91 citations · 311 across the 34 of their papers we have counts for
Showing 2009 · math.APShow all
3 papers · 2 filters
math.AP2009★ 26 cited
Global rough solutions to the critical generalized KdV equation
Luiz Gustavo Farah
We prove that the initial value problem (IVP) for the critical generalized KdV equation on the real line is globally well-posed in provided…
math.AP2009★ 35 cited
On the periodic "good" Boussinesq equation
Luiz Gustavo Farah, Marcia Scialom
We study the well-posedness of the initial-value problem for the periodic nonlinear "good" Boussinesq equation. We prove that this equation is local well-posed for initial data in…
math.AP2009★ 33 cited
On the periodic Schrödinger-Boussinesq System
Luiz Gustavo Farah, Ademir Pastor
We study the local and global well-posedness of the periodic boundary value problem for the nonlinear Schrödinger-Boussinesq system. The existence of periodic pulses as well as the…