Filipe Oliveira

activity

20102023

most citedWeighted EGZ Constant for p-groups of rank 2

3 citations · 11 across the 13 of their papers we have counts for

collaborators

Showing 2017Show all

2 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

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…