一类非线性双曲方程初边值问题解的爆破

Blow-up of solutions to initial boundary value problem for a class of nonlinear hyperlic equation

利用凸性方法给出了一类非线性双曲方程初边值问题的解在有限时刻爆破的充分条件.

By use of the cancavity method, we give a sufficient condition of blow-up of a nonlinear damped hyperbolic equation with the initial boundary value conditions in finite time.