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 2021Show all

2 papers · 1 filter

math.AP2021★ 10 cited

Blow-up of non-radial solutions for the $L^{2}$ critical inhomogeneous NLS equation

Mykael Cardoso, Luiz Gustavo Farah

We consider the $L^{2}$ critical inhomogeneous nonlinear Schrödinger (INLS) equation in $R^{N}$ $i \partial_{t} u + Δ u + ∣ x ∣^{- b} ∣ u ∣^{\frac{4 - 2 b}{N}} u = 0,$ where $N \geq 1$ a…

math.AP2021★ 1 cited

Blow-up solutions of the intercritical inhomogeneous NLS equation: the non-radial case

Mykael Cardoso, Luiz Gustavo Farah

In this paper we consider the inhomogeneous nonlinear Schrödinger (INLS) equation \begin{align}\label{inls} i \partial_t u +Δu +|x|^{-b} |u|^{2σ}u = 0, \,\,\, x \in \mathbb{R}^N \e…

Blow-up of non-radial solutions for the L2 critical inhomogeneous NLS equation

Blow-up solutions of the intercritical inhomogeneous NLS equation: the non-radial case

Blow-up of non-radial solutions for the $L^{2}$ critical inhomogeneous NLS equation