| In this paper, we are concerned with the existence of bounded absorbing set and global attractor for the nonlinear wave equation with damping term where Ω(?)RN is a bounded domain with smooth boundary (?)Ω, the nonlinear terms are f(ut) and g(u), and h is external force.First, this paper obtains the existence of bounded absorbing set by prior estimates, then use the standard Galerkin approximation scheme to prove the existence and unique-ness of global solutions for the above mentioned problem in the space X1=V1×H. And by combining the decomposition idea of the semigroup, it proves the dynamical system associated with the above-mentioned equation possess a global which is connected. |
