3 papers
math.AP2024
Elliptic Equations in Weak Oscillatory Thin Domains: Beyond Periodicity with Boundary-Concentrated Reaction Terms
Pricila S. Barbosa, Manuel Villanueva-Pesqueira
In this paper we analyze the limit behavior of a family of solutions of the Laplace operator with homogeneous Neumann boundary conditions, set in a two-dimensional thin domain whic…
math.DS2018
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 }…
math.DS2016
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_…