Blowup theory for the critical nonlinear Schrödinger equations revisited

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Minimal-mass blowup solutions of the mass-critical NLS (2006, methodology): “There has been some progress in lowering the regularity of H 1 x ðRÞ for these results, see [4], [9], [11], [13], [14], [17], [43], but these methods are unlikely to reach all the way to the scale-invariant regularity L(2) xðRdÞ.”
Nonlinear Schrodinger Equations at Critical Regularity (2013, unknown): “6 (The Gagliardo–Nirenberg inequality: bubble decomposition, [33]).”
A refinement of the Strichartz inequality for the wave equation with applications (2012, unknown): “The profile decomposition has traditionally proven useful in the nonlinear theory (see for example [13–15], [16,17], [26], [28], [30–33], [34], [36], [37], [38], [39], [40–42], [48] or [60,61]).”
On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities (2018, methodology): “To solve these problems, we mainly use the ideas from Hmidi and Keraani [10] and Guo [9].”
On Blow-up Solutions to the 3D Cubic Nonlinear Schrödinger Equation (2010, background): “Colliander, private communication) and the argument in the proof of Proposition 7 in HmidiKeraani [10].”
Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation (2007, background): “The spherical symmetry assumption was relaxed by Nawa [18]; see also [12].”