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Blowup of small data solutions for a quasilinear wave equation in two space dimensions | | Serge Alinhac
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1 Dec 1998 | | Journal: | Ann. of Math. (2) 149 (1999), no. 1, 97-127 | | Subject: | Analysis of PDEs | math.AP | | Abstract: | For the quasilinear wave equation partial_t^2u - Delta u = u_t u_{tt}, 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. | | Source: | arXiv, math.AP/9901146 | | Services: | Forum | Review | PDF | Favorites | |
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