Simão Correia

activity

20152025

most citedStability of ground-states for a system of

M

coupled semilinear Schrödinger equations

2 citations · 4 across the 15 of their papers we have counts for

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Showing 2020 · math.APShow all

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math.AP2020

On the nonlinear Schrödinger equation in spaces of infinite mass and low regularity

Vanessa Barros, Simão Correia, Filipe Oliveira

We study the nonlinear Schrödinger equation with initial data in $Z_{p}^{s} (R^{d}) = H ˙^{s} (R^{d}) \cap L^{p} (R^{d})$ , where $0 < s < min {d /2, 1}$ and $2<p<2…

math.AP2020

Nonlinear smoothing and unconditional uniqueness for the Benjamin-Ono equation in weighted Sobolev spaces

Simão Correia

We consider the Benjamin-Ono equation on the real line for initial data in weighted Sobolev spaces. After the application of the gauge transform, the flow is shown to be Lipschitz…