In this work we consider the non local evolution equation with time-dependent terms which arises in models of phase separation in RN∂tu=−u+g(β(J∗u)+βh(t,u)) under some restrictions on h, growth restrictions on the nonlinear term g and β>1. We prove, under suitable assumptions, existence, regularity and upper-semicontinuity of pullback attractors with respect to functional parameter h(t) in some weighted spaces.
@article{arxiv.1401.0674,
title = {Pullback attractor for a non local non-autonomous evolution equation in an unbounded domain},
author = {Flank D. M. Bezerra and Miriam da S. Pereira and Severino H. da Silva},
journal= {arXiv preprint arXiv:1401.0674},
year = {2014}
}