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MR2415473 (2010e:35193) 35L71 (35B44 35L15)
Merle, Frank; Zaag, Hatem Openness of the set of non-characteristic points and regularity of the blow-up curve for the 1 D semilinear wave equation. Comm. Math. Phys. 282 (2008), no. 1, 55–86.
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