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For the quasilinear wave equation @ 2 t ui ¢u = ututt; we 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].

Blowup of Small Data Solutions for a Quasilinear Wave Equation in Two Space Dimensions