Pullback D-attractors for non-autonomous partly dissipative reaction-diffusion equations in unbounded domains

At present paper, we establish the existence of pullback D-attractor for the process associated with non-autonomous partly dissipative reaction-diffusion equation in L2(Rn)×L2(Rn). In order to do this, by energy equation method we show that the process, which possesses a pullback D-absorbing set, is pullback Dˆ0-asymptotically compact.