Pullback attractors for non-autonomous quasi-linear parabolic equations with dynamical boundary conditions

Abstract

The existence of a unique minimal pullback attractor is established for the evolutionary process associated with a non-autonomous quasi-linear parabolic equations with a dynamical boundary condition in L-r1 (Omega) x L-r1 (Gamma) under that assumption that the external forcing term satisfies a weak integrability condition, where r(1) > 2 is determined by the order of the nonlinearity.