22 citations · 35 across the 10 of their papers we have counts for
10 papers
Uniform -Boundedness of Global Attractors for Reaction-Diffusion Equations with Neumann boundary condition in Uniformly Perturbed Non-Smooth Domains
Antonio L. Pereira
We consider a family of semilinear parabolic equations with homogeneous Neumann boundary conditions on a family of varying non-smooth domains $\{Ω_μ\}_{μ\in Λ} \subset \mathbb{R}^n…
A Note on the formulation of the Neumann boundary condition for a nonlocal problem
Antonio Luiz Pereira
The nonlocal diffusion equation \begin{equation*} \begin{cases} u_t(t,x) & = \int_Ω K(x,y) \, u(t,y) \, d\,y - \int_Ω K(y,x) \, u(t,x) \, d \, y u(0,x) & = u_0(x) \end{cases} \end{…
Continuity of attractors for a highly oscillatory family of perturbations of the square
Bianca P. Lorenzi, Antônio L. Pereira
Consider the family of semilinear parabolic problems \begin{equation*} \left\{ \begin{array}{lll} u_{t}(x,t) = Δu(x,t) - au(x,t) + f(u(x,t)), \,\,\, x \in Ω_ε, t > 0, \\ \frac{\par…
Continuity of attractors for perturbations of a smooth domain
Antônio L. Pereira, Pricila S. Barbosa
We consider a family of semilinear parabolic problems with nonlinear boundary conditions \[ \left\{ \begin{aligned} u_t(x,t) &=Δu(x,t) -au(x,t) + f(u(x,t)),\ x \in Ω_ε\mbox{ and }…
A gradient flow generated by a nonlocal model of a neural field in an unbounded domain
Severino Horácio da Silva, Antônio Luiz Pereira
In this paper we consider the non local evolution equation We…
Continuity of attractors for a family of perturbations of the square
Pricila S. Barbosa, Antônio L. Pereira, Marcone C. Pereira
We consider here the family of semilinear parabolic problems \begin{equation*} \begin{array}{rcl} \left\{ \begin{array}{rcl} u_t(x,t)&=&Δu(x,t) -au(x,t) + f(u(x,t)) ,\,\,\ x \in Ω_…