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 2017Show all

4 papers · 1 filter

math.AP2017

Scattering theory for the Schrödinger-Debye System

Simão Correia, Filipe Oliveira

We study the Schrödinger-Debye system over $R^{d}$ iu_t+\frac 12Δu=uv,\quad μv_t+v=λ|u|^2 and establish the global existence and scattering of small solutions for initial da…

math.AP2017

Finite speed of disturbance for the nonlinear Schrödinger equation

Simão Correia

We consider the Cauchy problem for the nonlinear Schrödinger equation on the whole space. After introducing a weaker concept of finite speed of propagation, we show that the concat…

math.AP2017

Local Cauchy theory for the nonlinear Schrödinger equation in spaces of infinite mass

Simão Correia

We consider the Cauchy problem for the nonlinear Schrödinger equation on $R^{d}$ , where the initial data is in $H ˙^{1} (R^{d}) \cap L^{p} (R^{d})$ . We prove loca…

math.AP2017

On a nonlinear Schrödinger system arising in quadratic media

Adán Corcho, Simão Correia, Filipe Oliveira +1

We consider the quadratic Schrödinger system $i u_{t} + Δ_{γ_{1}} u + u v = 0$ $2 i v_{t} + Δ_{γ_{2}} v - β v + \frac{1}{2} u^{2} = 0,$ where $t \in R, x \in R^{d} \times R$ , in…