一类具耗散项非线性双曲型方程解的渐近行为和blow up

Asymptotic behavior and blow up of solutions for a class of nonlinear hyperbolic equations with diss

摘要: 研究一类具耗散项的非线性双曲型方程utt-uxx+εut+f(u) =0的初边值问题解的渐近行为和blowup .获得了问题的解当t→ +∞有渐近行为及解在有限时间内blowup的一些充分条件 ,并给出了几个具体实例

Abstract: In this paper,the author study asymptotic behavior and blow up of solutions to the initial boundary value problem for a class of nonlinear hyperbolic equation with dissipation term.The sufficient conditions of the asymptotic behavior of solutions as t→∞ and blowing up of solutions in finite time for the initial boundary value problem are obtained,and several specific examples are also given