Academic Editor: Ram U. Verma
Copyright © 2012 Cung The Anh and Nguyen Duong Toan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The existence and uniqueness of a variational solution are proved for the following nonautonomous nonclassical diffusion equation , in a noncylindrical domain with homogeneous Dirichlet boundary conditions, under the assumption that the spatial domains are bounded and increase with time. Moreover, the nonautonomous dynamical system generated by this class of solutions is shown to have a pullback attractor , which is upper semicontinuous at .