Asymptotic behaviour of solution for multidimensional viscoelasticity equation with nonlinear source term
Asymptotic behaviour of solution for multidimensional viscoelasticity equation with nonlinear source term
In this paper we study the initial-boundary value problem of the multidimensional viscoelasticity equation with nonlinear source term . By using the potential well method, we first prove the global existence. Then we prove that when time , the solution decays to zero exponentially under some assumptions on nonlinear functions …