Blowup of small data solutions for a quasilinear wave equation in two space dimensions.
Blowup of small data solutions for a quasilinear wave equation in two space dimensions.
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DOI：
10.2307/121020
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发表时间：
1999-01
影响因子：
4.9
通讯作者：
S. Alinhac
中科院分区：
文献类型：
--
作者：
S. Alinhac
对于拟线性波动方程@ 2 tu = ututt；我们分析了具有小（非旋转不变）数据的经典解的长时间行为。给出了寿命的完全渐近展开式，并描述了爆破点附近的解。根据作者[3]的术语，这个解是一个“尖型放大解”。
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].