记忆型抽象发展方程全局吸引子的存在性

Existence of global attractors for abstract evolution equations with fading memory

在空间V_θ×H×L_μ~2(R^+,V_θ)中,讨论了具有衰退记忆的抽象发展方程当非线性项临界增长且外力项g∈H^(-1)(Ω)时的长时间动力学行为.得到了全局吸引子的存在性结果,推广和改进了已有结果.

Through use of some new methods and estimate techniques,the long-time dynamical behavior of the abstract evolution equation with fading memory was discussed in the space Vθ× H×L_μ^2（R^＋,Vθ） when nonlinearity was critical and the forcing term g∈H^-1（Ω）.The existence of global attractors was obtained.The results have extended and improved some known results.