5 papers
Scattering for quadratic-type Schrödinger systems in dimension five without mass-resonance
Norman Noguera, Ademir Pastor
In this paper we study the scattering of non-radial solutions in the energy space to coupled system of nonlinear Schrödinger equations with quadratic-type growth interactions in di…
Scattering of radial solutions for quadratic-type Schrödinger systems in dimension five
Norman Noguera, Ademir Pastor
In this paper we study the scattering of radial solutions to a -component system of nonlinear Schrödinger equations with quadratic-type growth interactions in dimension five. Ou…
Blow-up solutions for a system of Schrödinger equations with general quadratic-type nonlinearities in dimensions five and six
Norman Noguera, Ademir Pastor
In this work, we show the existence of ground state solutions for an -component system of non-linear Schrödinger equations with quadratic-type growth interactions in the energy-…
On a system of Schrödinger equations with general quadratic-type nonlinearities
Norman Noguera, Ademir Pastor
In this work we study a system of Schrödinger equations involving nonlinearities with quadratic growth. We establish sharp criterion concerned with the dichotomy global existence v…
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 $…