We systematically explore a simple class of global attractors, called Sturm due to nodal
properties, for the semilinear scalar parabolic partial differential equation (PDE) ut= ux x+ f …

The theory of compact global attractors for dynamical systems relies on the existence of a
bounded absorbing set. In this paper, suppressing this condition, we present sufficient …

If the semigroup is slowly non-dissipative, ie, its solutions can diverge to infinity as time
tends to infinity, one still can study its dynamics via the approach by the unbounded …

Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion
Equation | Journal of Dynamics and Differential Equations Skip to main content …

We introduce the concept of a maximal B-attractor for a semigroup, and find conditions
under which a semigroup in a metric space possess a maximal B-attractor. We also …

If the semigroup is slowly non-dissipative, ie, its solutions can diverge to infinity as time
tends to infinity, one still can study its dynamics via the approach by the unbounded …

The aim of this article is to provide a relation between the well-known class of dissipative
equations and the recently introduced class of slowly non-dissipative equations, in the …

Abstract Let Ω ⊂ R^ n Ω⊂ R n be a bounded smooth domain in R^ n R n. Given u_0 ∈ L^ 2
(Ω) u 0∈ L 2 (Ω), g ∈ L^ ∞ (Ω) g∈ L∞(Ω) and λ ∈ R λ∈ R, consider the family of problems …

Neste trabalhoestudamosocomportamentoassint oticodassolu c~ oesdeequa c~ oes
diferenciais parciaislentamenten~ aodissipativas, daremosumbreveapanhadohist orico …