Attractors of asymptotically autonomous quasi-linear parabolic equation with spatially variable exponents

作者：Kloeden Peter E^*; Simsen Jacson

来源：Journal of Mathematical Analysis and Applications, 2015, 425(2): 911-918.

DOI：10.1016/j.jmaa.2014.12.069

• Non-autonomous quasi-linear
• parabolic problems
• Variable exponents
• Pullback attractors
• Asymptotically autonomous systems

Some abstract results on the convergence of nonautonomous pullback attractors in asymptotically autonomous problems are established and then applied to quasi-linear parabolic equations with spatially variable exponents in which the parabolic operator is time-dependent. In particular, it is shown that the component subsets of the pullback attractor converge in the Hausdorff semi-distance to the global autonomous attractor.

• 出版日期2015-5-15
• 单位华中科技大学