6 papers · 1 filter
Blow-up solutions to a class of nonlinear coupled Schrödinger systems with power-type-growth nonlinearities
Norman Noguera
In this work we consider a system of nonlinear Schrödinger equations whose nonlinearities satisfy a power-type-growth. First, we prove that the Cauchy problem is local and global w…
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 $…