Resumo: The trajectory attractor theory is one of the approaches to study the asymptotic behavior of autonomous and non-autonomous problems without uniqueness of solutions. We will talk about the other approaches to study the dynamics of non-autonomous problems without uniqueness of solution and their relation with the theory of trajectory attractors. As an application, we guarantee the existence of a trajectory attractor for a non-autonomous problem with p-Laplacian operator and with dynamic boundary conditions.
Referências: R. A. SAMPROGNA, C. B. GENTILE MOUSSA, T. CARABALLO, K. SCHIABEL, Trajectory and global attractors for generalized processes, Discrete Continuous Dynamical Systems Series B, 24(8), 2019.