论文标题
强烈扰动的波动方程的爆炸行为
Blowup behavior of strongly perturbed wave equations
论文作者
论文摘要
我们研究了一类强烈扰动的波动方程的爆炸行为，并在三个空间维度中具有聚焦的超临界功率非线性。我们表明，不受干扰的方程式的ode爆炸曲线仍然描述了稳定爆炸的渐近性。结果，稳定的ode型爆炸被认为是存在于大型半线性波方程中的普遍现象。
We study the blowup behavior of a class of strongly perturbed wave equations with a focusing supercritical power nonlinearity in three spatial dimensions. We show that the ODE blowup profile of the unperturbed equation still describes the asymptotics of stable blowup. As a consequence, stable ODE-type blowup is seen to be a universal phenomenon that exists in a large class of semilinear wave equations.
