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For the quasilinear wave equationwe analyze the long-time behavior of classical solutions with small (not rotationally invariant) data.We give a complete asymptotic expansion of the lifespan and describe the solution close to the blowup point.It turns out that this solution is a "blowup solution of cusp type," according to the terminology of the author 3. RésuméPour l'équation d'onde quasi-linéairenous analysons le comportement en grand temps des solutions classiques à données petites.Nous donnons un développement asymptotique complet du temps de vie et décrivons la solution près du point d'explosion.Cette solution est une "solution éclatée de type cusp," selon la terminologie de l'auteur 3.
Serge Alinhac (Fri,) studied this question.
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