Sharp counterexamples for Strichartz estimates for low regularity metrics

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Global parametrices and dispersive estimates for variable coefficient wave equations (2007, background): “Below this regularity threshold for the coefficients the full Strichartz estimates are lost (see [26],[28]), and one only retains partial results (see [33],[35]).”
Sharp local well-posedness results for the nonlinear wave equation (2005, background): “This line of attack for the nonlinear problem, however, reached a dead end when Smith-Tataru [16] showed that the 1 6 loss is sharp for general metrics of regularity C 1 .”