THE REGULARITY OF PULLBACK ATTRACTOR FOR A NON-AUTONOMOUS p-LAPLACIAN EQUATION WITH DYNAMICAL BOUNDARY CONDITION

摘要

In this paper, we investigate the asymptotic regularity of the minimal pullback attractor of a non-autonomous p-Laplacian equation with dynamical boundary condition. First, we establish the higher-order integrability of the difference of solutions near the initial time. Then we show that, under the assumption that the time-depending forcing terms only satisfy some L-2 integrability, the L-2 (Omega) x L-2 (partial derivative Omega) pullback D-attractor can actually attract the L-2 (Omega) x L-2 (partial derivative Omega)-bounded set in L2+delta (partial derivative Omega) x L-2+delta (partial derivative Omega)-norm for any delta is an element of [0, infinity).