Global Existence and Asymptotic Behavior of Solutions for Some Nonlinear Hyperbolic Equation

摘要

The initial boundary value problem for a class of hyperbolic equation with nonlinear dissipative term in a bounded domain is studied. The existence of global solutions for this problem is proved by constructing a stable set in and show the asymptotic behavior of the global solutions through the use of an important lemma of Komornik.