04/04/2017, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Juliana Pimentel, UFABC (Brazil)
Unbounded Attractors Under Perturbations
We put forward the recently introduced notion of unbounded attractors. These objects will be addressed in the context of a class of 1-D semilinear parabolic equations. The nonlinearities are assumed to be non-dissipative and, in addition, defined in such a way that the equation possesses unbounded solutions as time goes to infinity. Small autonomous and non-autonomous perturbations of these equations will be treated. This is based on joint work with A. Carvalho and S. Bruschi.