The book treats the theory of attractors for non-autonomous dynamical systems. The aim of
the book is to give a coherent account of the current state of the theory, using the framework …

We present a new method of investigating the so-called quasi-linear strongly-damped wave
equations in bounded 3D domains. This method allows us to establish the existence and …

In this paper we conclude the analysis started in [JM Arrieta, AN Carvalho, G. Lozada-Cruz,
Dynamics in dumbbell domains I. Continuity of the set of equilibria, J. Differential Equations …

In this paper we prove a result on lower semicontinuity of pullback attractors for dynamical
systems given by semilinear differential equations in a Banach space. The situation …

In this paper we consider the strongly damped wave equation with time-dependent terms in
a bounded domain Ω⊂ Rn, under some restrictions on βε (t), γ (t) and growth restrictions on …

We study generalized viscous Cahn–Hilliard problems with nonlinearities satisfying critical
growth conditions in W01, p (Ω), where Ω is a bounded smooth domain in Rn, n⩾ 3. In the …

In this paper we give general results on the continuity of pullback attractors for nonlinear
evolution processes. We then revisit results of [D. Li, PE Kloeden, Equi-attraction and the …

This paper is concerned with the lower semicontinuity of attractors for semilinear non-
autonomous differential equations in Banach spaces. We require the unperturbed attractor …

Resumo Sejam a> 0, 9 CR" um conjunto aberto, limitado e com fronteira regular e–A o
operador laplaciano com condição de fronteira de Dirichlet em Q. Estudamos o problema de …

In this paper we study the abstract semilinear parabolic problem of the form du/dt+ Au= ƒ (u),
as the limit of the corresponding fractional approximations du/dt+ A< sup> α u= ƒ (u), in a …