Simão Correia

activity

20142026

most citedA Fujita-type blowup result and low energy scattering for a nonlinear Schrö\-din\-ger equation

10 citations · 19 across the 23 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AP2023

Improved global well-posedness for the quartic Korteweg-de Vries equation

Simão Correia

We prove that the quartic Korteweg-de Vries equation is globally well-posed for real-valued initial data in $H^{s} (R)$ , $s > - 1/24$ .

math.AP2023

Classification and stability of positive solutions to the NLS equation on the $T$ -metric graph

Francisco Agostinho, Simão Correia, Hugo Tavares

Given $λ > 0$ and $p > 2$ , we present a complete classification of the positive $H^{1}$ -solutions of the equation $- u^{''} + λ u = ∣ u ∣^{p - 2} u$ on the $T$ -metric graph (consisting of tw…

math.AP2023★ 1 cited

Sharp local well-posedness and nonlinear smoothing for dispersive equations through frequency-restricted estimates

Simão Correia, Filipe Oliveira, Jorge Drumond Silva

We consider the problem of establishing nonlinear smoothing as a general feature of nonlinear dispersive equations, i.e. the improved regularity of the integral term in Duhamel's f…

Improved global well-posedness for the quartic Korteweg-de Vries equation

Classification and stability of positive solutions to the NLS equation on the T-metric graph

Sharp local well-posedness and nonlinear smoothing for dispersive equations through frequency-restricted estimates

Classification and stability of positive solutions to the NLS equation on the $T$ -metric graph