91 citations · 311 across the 34 of their papers we have counts for
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Threshold solutions for the nonlinear Schrödinger equation
Luccas Campos, Luiz Gustavo Farah, Svetlana Roudenko
We study the focusing NLS equation in in the mass-supercritical and energy-subcritical (or intercritical) regime, with data at the mass-energy threshold $ \mat…
Blow-up of radial solutions for the intercritical inhomogeneous NLS equation
Mykael Cardoso, Luiz Gustavo Farah
We consider the inhomogeneous nonlinear Schrödinger (INLS) equation in where , $0<b<\min\left\{\frac{N}{2},2…
Scattering below the ground state for the intercritical non-radial inhomogeneous NLS
Mykael Cardoso, Luiz Gustavo Farah, Carlos M. Guzmán +1
We consider the focusing inhomogeneous nonlinear Schrödinger equation \[ i\partial_t u + Δu + |x|^{-b}|u|^αu = 0\quad\text{on}\quad\mathbb{R}\times\mathbb{R}^N, \] with ,…
Asymptotic stability of solitary waves of the 3D quadratic Zakharov-Kuznetsov equation
Luiz Gustavo Farah, Justin Holmer, Svetlana Roudenko +1
We consider the quadratic Zakharov-Kuznetsov equation on . A solitary wave solution is given by , w…
On well-posedness and concentration of blow-up solutions for the intercritical inhomogeneous NLS equation
Mykael Cardoso, Luiz Gustavo Farah, Carlos M. Guzmán
We consider the focusing inhomogeneous nonlinear Schrödinger (INLS) equation in where and , . We f…