Determination of the blow-up rate for the semilinear wave equation

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Scattering for the radial 3D cubic wave equation (2014, background): “In two remarkable works, Merle and Zaag [39, 40] determined that all blow-up solutions must blow-up at the self-similar rate.”
Determination of the blow-up rate for a critical semilinear wave equation (2005, methodology): “In this paper, we consider the critical case of our previous work [17] p = pc ≡ 1 + 4 N − 1 where N ≥ 2.”
Slow blow-up solutions for the $H^1({\mathbb R}^3)$ critical focusing semilinear wave equation (2009, background): “The question of the blow-up rate was addressed by Merle–Zaag in the conformal range p ≤ 3, see [13]–[15] (their results extend to all dimensions).”
Openness of the Set of Non-characteristic Points and Regularity of the Blow-up Curve for the 1 D Semilinear Wave Equation (2008, methodology): “We first recall some dispersion estimates from [3] and [16]: Lemma 3.”
Concentration Compactness for Critical Wave Maps (2009, background): “This is proved as in [31], see Lemma 2.”
Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension (2007, methodology): “Proof: Remark from [17] (identity (11) page 1152) that we have for all s1 ≥ s0 and s2 ≥ s0 + 1, p− 1 2(p+ 1) ∫ s2+1”