中文摘要：

研究了一类半线性抛物方程的初边值问题,在具有正初始能量的情况下,通过Nehari流形与凸性方法得到了解的有限时间爆破,进而刻画了初始能量与有限时间爆破的关系。

英文摘要：

The initial boundary value problem for a class of semilinear parabolic equations with positive initial energy is studied. The finite time blow-up of solutions is obtained by the Nehari manifold and the convexity method. Moreover,the relationship between initial energy and finite time blow-up of solutions is described.