Asymptotic behavior of a class of non-autonomous degenerate parabolic equations

作者：Wang Bixiang; Jones Robert^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(9-10): 3887-3902.

DOI：10.1016/j.na.2010.01.026

• Pullback attractor
• Asymptotic compactness
• Degenerate parabolic equation

We investigate the asymptotic behavior of solutions of a class of non-autonomous degenerate parabolic equations on R(n) with unbounded external forcing terms. The existence of a pullback global attractor is proved in L(2)(R(n)) boolean AND L(p)(R(n)) boolean AND W(1,r) (R(n)) for any p >= r >= 2.

• 出版日期2010-5-1