Blowup of small data solutions for a quasilinear wave equation in two space dimensions
成果类型：
Article
署名作者：
Alinhac, S
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.2307/121020
发表日期：
1999
页码：
97-127
关键词：
摘要：
For the quasilinear wave equation partial derivative(t)(2)uu - 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 [3].