Regularity of solutions to the free Schrödinger equation with radial initial data

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Weighted Strichartz estimates with angular regularity and their applications (2008, background): “Sugimoto [35] and Vilela [38] prove the estimate for a = 2 with s = 0.”
Minimal-mass blowup solutions of the mass-critical NLS (2006, background): “Indeed, this would be the most direct approach (for instance, the bilinear restriction theorem from [31] is significantly easier to prove if one assumes spherical symmetry, and one can use local smoothing estimates and radial Sobolev inequalities, such as those in [40], to significantly increase the”
A Sharp Condition for Scattering of the Radial 3D Cubic Nonlinear Schrödinger Equation (2007, background): “We shall also need the Kato inhomogeneous Strichartz estimate [13] (for further extensions see [8] and [30])”
Sharp linear and bilinear restriction estimates for paraboloids in the cylindrically symmetric case (2007, methodology): “The “only if” part is given in [26] by the decay estimate of (dσ)∨ and scaling.”
Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions (2007, methodology): “The relevance of these spaces to the Schrödinger equation arises from the following weighted Strichartz estimate of Vilela [35].”