Blow-up of Solution to the Wave Equation with Time Weighted Nonlinear Term
By introducing an appropriate multiplier to overcome the influence of scattering damping term,constructing a test function and making use of iterative approach,blow-up results of the solution to a small initial value problem of wave equation with scattering damping term and time weighted non-linear terms in n space dimensions are obtained.In addition,the upper bound lifespan estimates of solu-tion are presented.