Parametrices and dispersive estimates for Schrödinger operators with variable coefficients

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Quintic NLS in the exterior of a strictly convex obstacle (2012, background): “We also draw the reader’s attention to the related papers [1, 6, 11, 27, 54, 58, 64, 67], as well as the references therein.”
Global parametrices and dispersive estimates for variable coefficient wave equations (2007, methodology): “The proof is very similar to the analogous one in [37].”
Local decay of waves on asymptotically flat stationary space-times (2009, methodology): “See also the related paper Metcalfe-Tataru [34], as well as Alinhac’s article [1].”
Strichartz estimates and local smoothing estimates for asymptotically flat Schr (2007, background): “Local smoothing estimates are also proved in [28], but only for small long range perturbations of the Laplacian.”
Strichartz Estimates on Schwarzschild Black Hole Backgrounds (2008, methodology): “This construction is based on an earlier argument in [48] for the Schrödinger equation.”
Price's Law on Nonstationary Space-Times (2011, unknown): “For notations and estimates most reminiscent to those used here, we refer the reader to [65] and [44].”
Decay estimates for variable coefficient wave equations in exterior domains (2008, methodology): “On the other hand, for the Strichartz estimates, we shall introduce frequency localized spaces as in [13], as well as the earlier work [29].”