Atratores de trajetórias para equações de evolução abstratas e aplicação a uma equação de reação difusão
Resumo
The purpose of this work is to study the asymptotic behaviour of abstract autonomous evolution
equations. The first part is dedicated to the theory of existence of global attractors for univoque
autonomous problems and trajectory attractors for multivoque autonomous problems. After that,
we analyse the existence of the trajectory attractor for an autonomous reaction-diffusion equation
for which it is not possible to guarantee the uniqueness property.