一类混合非线性项的半线性双波动方程解的爆破分析

Blow-up Analysis on Solutions to a Class of Semilinear Double-Wave Equation with Mixed Nonlinearities

考虑一类混合非线性项的半线性双波动方程解的爆破,利用泛函分析方法和迭代技巧证明了在非临界情况下其柯西问题解的全局非存在性和解的生命跨度上界估计.

Blow-up of solutions to a class of semilinear double-wave equations with mixed nonlinearities is considered.By using functional analysis methods and an iteration technique,the nonexistence of global solutions to the Cauchy problem for semilinear double-wave equations in the subcritical case is derived.Also,the upper bound of the lifespan of solutions is obtained.