Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations

Abstract

Based on the recent theory of time-dependent global attractors in the works of Conti et al. (2013) and di Plinio et al. (2011), we prove the existence of time-dependent global attractors as well as the regularity of the time-dependent global attractor for a class of nonclassical parabolic equations.

Existence of Random Attractors for 2D-Stochastic Nonclassical Diffusion Equations on Unbounded Domains

“…To our problem, on bounded domains, the long-time behavior has been discussed by many authors in [6][7][8][9][10][11][12][13][14][15]. On unbounded domains, the existence of global attractors were obtained in [16,17], and the pullback attractors were obtained in [18].…”