In recent years, more and more scholars have studied the papers on nonlinear wave equations. This paper studies the existence problem of solution of a nonlinear viscoelastic wave equation.This paper is mainly comprised of three chapters:Chapter 1 is the introduction. It introduces the development of the existence problem and blow-up problem of solution of a nonlinear viscoelastic wave equation.Chapter 2 considers the existence of the solution of viscoelastic wave equation In chapter 3, we obtain the global existence to the above viscoelastic wave equation with the initial datum. |