关于半线性波动方程全局吸引子的存在性

Existence of Attractors for Nonlinear Wave Equation

讨论微分方程中半线性波动方程解的性质。给出了半线性波动方程的存在性，建立Ｃ°──半群，运用Ｈａｌｅ的可收缩理论，证明该半群存在全局吸引子。

A rearch on the existence of solution for nonlinear wave equa- tion is presented and C°-semiproup is set up. It is proved that the emigroup has a global attractor in Hale's α-contraction theory.