Luccas Campos

activity

20182026

most citedThreshold solutions for cubic Schrödinger systems

1 citations · 1 across the 12 of their papers we have counts for

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Showing 2020Show all

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math.AP2020

Threshold solutions for the nonlinear Schrödinger equation

Luccas Campos, Luiz Gustavo Farah, Svetlana Roudenko

We study the focusing NLS equation in $R^{N}$ in the mass-supercritical and energy-subcritical (or intercritical) regime, with $H^{1}$ data at the mass-energy threshold $ \mat…

math.AP2020

Blow up and scattering criteria above the threshold for the focusing inhomogeneous nonlinear Schrödinger equation

Luccas Campos, Mykael Cardoso

We consider the inhomogeneous nonlinear Schrödinger equation (INLS) in $R^{N}$ , $N \geq 1$ , $i \partial_{t} u + Δ u + ∣ x ∣^{- b} ∣ u ∣^{p - 1} u = 0,$ with finite-variance initial d…