33 citations · 76 across the 32 of their papers we have counts for
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math.AP2018
On a Schrödinger system arizing in nonlinear optics
Filipe Oliveira, Ademir Pastor
We study the nonlinear Schrödinger system \[ \begin{cases} \displaystyle iu_t+Δu-u+(\frac{1}{9}|u|^2+2|w|^2)u+\frac{1}{3}\overline{u}^2w=0,\\ i\displaystyle σw_t+Δw-μw+(9|w|^2+2|u|…
math.AP2018
On the dynamics of a quadratic Schrödinger system in dimension
Norman Noguera, Ademir Pastor
In this work we give a sharp criterion for the global well-posedness, in the energy space, for a system of nonlinear Schrödinger equations with quadratic interaction in dimension $…