该文研究了在齐次Dirichlet边界条件下一类具变指数的半线性双曲方程utt=△u+u^p(x)).在能量为正以及参数和初始数据满足合适的条件下,得到了一个爆破结果.
In this short work, we consider a class of semilinear hyperbolic equations with variable exponent utt=△u+u^p(x)) with homogeneous Dirichlet boundary conditions. Under some appropriate assumptions on the parameters, and with certain initial data, a blow-up result is established with positive energy.