一粪拟线性波动方程解的爆破

The Blow-up of Solutions to a Class of Quasilinear Wave Equations

借助于一些偏微分方程的标准技巧对方程的非线性项进行估计，通过凸性引理得到了在三种不同初始能量下解的爆破。

In this paper,we are concerned with the blow-up of solutions to a class of quasilinear wave equations. By applying some standard methods we estimate the nonlinear terms ingeniously. And we obtain the blow-up of weak solutions when one of three cases of initial energy holds through concavity method. Finally, three examples are given.