Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R^3

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On the Finite Energy Weak Solutions to a System in Quantum Fluid Dynamics (2008, methodology): “For more details, we refer the reader to [50], [ 11 ].”
Nonlinear Schrodinger Equations at Critical Regularity (2013, background): “One of the early applications of the new monotonicity formula was to the proof of global well-posedness and scattering for the three dimensional energy-critical defocusing nonlinear Schrödinger equation, [20].”
On the Probabilistic Cauchy Theory of the Cubic Nonlinear Schrödinger Equation on Rd, d≥3 (2014, background): “See [19,38,56,57] for perturbation and stability results on usual Strichartz and Lebesgue spaces.”
The focusing energy-critical Hartree equation (2009, methodology): “In the defocusing case, the global wellposedness and scattering was established by Bourgain [1], Grillakis [4] and Tao [18] for spherically symmetric initial data, and by Colliander, Keel, Staffilani, Takaoka and Tao [3] Ryckman and Visan [16] and Visan [21,22] for arbitrary initial data.”
Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4 (2007, methodology): “As will certainly become clear to the reader, our paper relies heavily on the arguments developed in [11].”
Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications (2008, positive): “A version of this result, in the context of NLS, was first proved in [4].”