The Well-posedness Of Nonlinear Forth-order Beam Equations With Nonlinear Damped Term And Source Term

In this paper, we consider the initial boundary value problem of the nonlinear wave equation with damped term Where ?(?)Rn is a bounded domain of class C2 with boundary (?)? , |f(s)|?C|s|p, and|g(s)|?C|s|m, the existence and uniqueness of local solutions are proved. When p?m,the existence of global solutions are gived. The first chapter introduces the development history of wave equation. In the second chapter, give some preliminaries, the existence and uniqueness of solutions to the problem of the nonlinear equation are proved.