Continuity of attractors for a family of $C^1$ perturbations of the square

Pricila S. Barbosa, Antônio L. Pereira, Marcone C. Pereira

We consider here the family of semilinear parabolic problems \begin{equation*} \begin{array}{rcl} \left\{ \begin{array}{rcl} u_t(x,t)&=&Δu(x,t) -au(x,t) + f(u(x,t)) ,\,\,\ x \in Ω_…