Global Existence And Nonexistence Of Solution To A Nonlinear Wave Equation

In this thesis, we consider the initial and boundary problem of the nonlinear wave equation with damping and source term by use of two different methods. where p> 1, m≥1, andΩ(?)Rn with smooth boundary. The function g satisfies the following properties: we obtain that the solution is blow up in finite time when it has linear damping and nonlinear damping, and we also get global existence results and decay rate.