论文部分内容阅读
In this report we consider the decay and blow-up properties of the solution for viscoelastic wave equations with damping and source terms.For the case of viscoelas tic wave equation with boundary damping and source terms, we first extend a recent decay result (for the case of linear damping) to the nonlinear damping case under weaker assumption on the relaxation function g(t), and then give an exponential de cay result without the relation between g(t) and g(t) for the linear damping case,provided that ||g||L1(0,∞) is small enough.We also establish two blow-up results: one is for certain solutions with nonpositive initial energy as well as positive initial energy for both the linear and nonlinear damping cases, the other is for certain solutions with arbitrarily positive initial energy for the linear damping case.Other related results will also be mentioned in this report.