【摘要】 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u_tt=△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.更多还原

【Abstract】 In this short work,we consider a class of semilinear hyperbolic equations with variable exponent u_tt = Δ + 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.更多还原