We analyze the dynamics of a reaction–diffusion equation with homogeneous Neumann
boundary conditions in a dumbbell domain. We provide an appropriate functional setting to …

We consider semilinear problems of the form u′= Au+ f (u), where A generates an
exponentially decaying compact analytic C 0-semigroup in a Banach space E, f: E α→ E is …

Abstract top Consider the family uₜ= Δu+ G (u), t> 0, x∈ Ω ε,∂ ν ε u= 0, t> 0, x∈∂ Ω ε,(E ε)
of semilinear Neumann boundary value problems, where, for ε> 0 small, the set Ω ε is a thin …

In these notes, we consider a scalar parabolic equation which is either autonomous or time
dependent. We give a survey of some of the results that deal with the qualitative properties …

This work is devoted to the study of the asymptotic behavior of nonautonomous reaction-
diffusion equations in Dumbbell domains $\Omega_ {\varepsilon}\subset\mathbb {R}^{N} …

We analyze the dynamics of a reaction-diffusion equation with homogeneous Neumann
boundary conditions in the dummbell domain. We provide an appropriate functional setting …