Continuity of attractors for a highly oscillatory family of perturbations of the square

Bianca P. Lorenzi, Antônio L. Pereira

Consider the family of semilinear parabolic problems \begin{equation*} \left\{ \begin{array}{lll} u_{t}(x,t) = Δu(x,t) - au(x,t) + f(u(x,t)), \,\,\, x \in Ω_ε, t > 0, \\ \frac{\par…