带有非线性阻尼的非线性发展方程的时间依赖吸引子

Time-dependent global attractor of the nonlinear evolution equation with nonlinear damping

摘要:

本文考虑带有非线性阻尼的非线性发展方程解的长时间行为，通过时间依赖空间中的理论，利用压缩函数的方法与更多的估计技巧，证明了带有临界非线性项的非线性发展方程时间依赖吸引子的存在性。

Abstract:

In this article, we consider the long-time behavior of solutions for the nonlinear evolution equation with nonlinear damping. Within the theory of process on time-dependent spaces, by using the contractive functions and more detailed estimates, we prove the existence of the time-dependent attractor for the nonlinear evolution equation with critical nonlinearity.