We study the spectral behavior of higher order elliptic operators upon domain perturbation.
We prove general spectral stability results for Dirichlet, Neumann and intermediate …

In this paper we study the asymptotic dynamics for a class of semilinear parabolic problems
with Dirichlet boundary conditions in domains with a small hole of size proportional to a …

In this paper we study the asymptotic nonlinear dynamics of scalar semilinear parabolic
problems of reaction-diffusion type when the diffusion coefficient becomes large in a …

In this work, we consider parabolic equations of the form (u ε) t+ A ε (t) u ε= F ε (t, u ε), where
ε is a parameter in [0, ε 0), and {A ε (t), t∈ R} is a family of uniformly sectorial operators. As …

In this paper, we prove the structural stability for a family of scalar reactiondiffusion
equations. Our arguments consist of using invariant manifold theorem to reduce the problem …

We study the rate of convergence of global attractors and eigenvalues of the family of
dissipative semilinear wave equations with variable coefficients $ u_ {tt}+\Lambda_\epsilon …

Neste trabalho estudaremos a dinâmica assintótica de uma classe de problemas
parabólicos semilineares com condição de contorno de Dirichlet em domínios com um …

A great variety of phenomena that happens in nature relies on the theory of differential
equations to be properly modeled and explained. In this work we focus on a specific class of …

In this paper we started the study of the asymptotic behavior for a class of semilinear
parabolic problems with Dirichlet boundary conditions in domains with a small hole whose …

In this paper we consider the non local non autonomous evolution problem\[\begin
{cases}\partial_t u=-u+ g\left (\beta (t)(Ku)\right)\\\mbox {in}\\\Omega,\\u= 0\\\mbox …