Global Nonexistence Of Arbitrarily Positive Initial Energy Solutions For Viscoelastic Wave Equation

Wave equation plays a very important role in the study of partial differential equations,the study of it will promote the further development of the theory of partial differential equations,and the wave equation with memory viscoelastic is an important content of it.In this paper,we study the nonlinear viscoelastic wave equationwhere ? is a bounded domain of Rn(n ? 1)with a smooth boundary ??,g :R+? R+is a positive nonincreasing function,andIn this article,we prove the nonexistence of global solution of this equation with arbitrarily high positive initial energy,breaking the positive initial energy in bounded condition,and this result is new.The nonexistence of global solution of this equation with the bounded positive initial energy,you can refer to the [18].