Scattering theory for quadratic nonlinear Schrödinger system in dimension six

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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Final state problem for a system of nonlinear Schrödinger equations with three wave interaction
Ill-posedness for a system of quadratic nonlinear Schrödinger equations in two dimensions
The defocusing energy-supercritical NLS in four space dimensions
On a system of nonlinear Schrödinger equations in 2D.
Scattering for mass-resonance nonlinear Schrödinger system in 5D
Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
Threshold solutions for the focusing 3D cubic Schrödinger equation
Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction
The dynamics of the 3D radial NLS with the combined terms
A sharp scattering threshold level for mass-subcritical nonlinear Schrödinger system
On three-wave interaction Schrödinger systems with quadratic nonlinearities: global well-posedness and standing waves
Blow-up of the radially symmetric solutions for the quadratic nonlinear Schrödinger system without mass-resonance
Blow-up results for systems of nonlinear Schrödinger equations with quadratic interaction
Scattering for a mass critical NLS system below the ground state with and without mass-resonance condition
On the dynamics of a quadratic Schrödinger system in dimension \(n = 5\)
The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
On a system of nonlinear Schrödinger equations with quadratic interaction
Final state problem for a quadratic nonlinear Schrödinger system in two space dimensions with mass resonance
A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation
Scattering for three waves nonlinear Schrödinger system with mass-resonance in 5D
Solitons in quadratic media
Global Well-posedness and Scattering for the Defocusing Cubic nonlinear Schrödinger equation in Four Dimensions
The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher
Endpoint Strichartz estimates
Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
Scattering for the Quadratic Nonlinear Schrödinger System in R5 without Mass-Resonance Condition
Weak concentration and wave operator for a 3D coupled nonlinear Schrödinger system
Scattering for the 5D quadratic NLS system without mass-resonance
A new proof of scattering below the ground state for the 3d radial focusing cubic NLS
A system of Schrödinger equations with general quadratic-type nonlinearities
On the defect of compactness for the Strichartz estimates of the Schrödinger equations
Existence and instability of standing wave for the two-wave model with quadratic interaction
Traveling waves for a nonlinear Schrödinger system with quadratic interaction

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