全空间中具时间依赖参数的p-Laplacian方程的拉回吸引子

Pullback attractor of p-Laplacian equation with time-dependent parameters on the entire space

摘要:

本文考虑无界域上的p-Laplacian方程的长时动力学行为. 在外力项满足一定的积分的条件下,本文利用一致尾部估计证明了方程对应的过程是渐近紧的, 从而得到其拉回吸引子的存在性.

Abstract:

We consider the long-time behavior of the non-autonomous p-Laplacian equation and prove that the process associated with the equation is asymptotically compact, where the forcing term only satisfies an integral condition. By using the uniform tails estimates of solutions, we obtain the existence of the pullback attractor.