Abstract: We consider a nonautonomous semilinear evolution problem of second order and investigate the existence and stability of a family of pullback exponential attractors for our problem under suitable growth and dissipativity conditions. Moreover, we also prove the upper and lower semicontinuity of this family of pullback exponential attractors. Finally, we guarantee the existence of the pullback attractor in an appropriate space, prove its upper semicontinuity and, lastly, obtain a regularity result of this pullback attractor.
V.T. Azevedo, E.M. Bonotto, A.C. Cunha, M.J.D. Nascimento, Existence and stability of pullback exponential attractors for a nonautonomous semilinear evolution equation of second order, Journal of Differential Equations v.365, p. 521-559, 2023.
Os interessados em participar da atividade podem encontrar o link do zoom no site do evento:
https://sites.google.com/usp.br/evol-eq-and-dyn-systems/in%C3%ADcio