无界域上非自治p-laplacian方程拉回吸引子的存在性

Existence of Pullback Attractor for Non-autonomous p-Laplacian Equation in Unbounded Domain

摘要: 通过构造截断函数证明了定义在无界域Rn上的非自治p-laplacian方程ut-div(|u|p-2▽u)+λ|u|p-2u+f(u)=g(t,x)的(L2(Rn),L2(Rn))3/拉回吸引子的存在性.

Abstract: Using a suitable cut-off function,the existence of the(L2(Rn),L2(Rn))-pullback attractor for the non-autonomous p-Laplacian equation ut-div(|▽u|p-2▽u)+λ|u|p-2u+f(u)=g(t,x) in Rn is proved.