1 citations · 1 across the 5 of their papers we have counts for
6 papers
Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem
José M. Arrieta, Alexandre N. Carvalho, Estefani M. Moreira +1
In this article, we study a one-dimensional nonlocal quasilinear problem of the form , with Dirichlet boundary conditions on the interval $[0,π…
The existence of isolating blocks for multivalued semiflows
Estefani M. Moreira, José Valero
In this article, we show the existence of an isolating block, a special neighborhood of an isolated invariant set, for multivalued semiflows acting on metric spaces (not locally co…
A Unified Theory for Inertial Manifolds, Saddle Point Property and Exponential Dichotomy
Alexandre N. Carvalho, Phillipo Lappicy, Estefani M. Moreira +1
Inertial manifold theory, saddle point property and exponential dichotomy have been treated as different topics in the literature with different proofs. As a common feature, they a…
Structure of the attractor for a non-local Chafee-Infante problem
Estefani M. Moreira, José Valero
In this article, we study the structure of the global attractor for a non-local one-dimensional quasilinear problem. The strong relation of our problem with a non-local version of…
Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem
Alexandre N. Carvalho, Estefani M. Moreira
In this work, we present results on stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem. We show that this nonlocal versio…
A non-autonomous bifurcation problem for a non-local scalar one-dimensional parabolic equation
Alexandre N. Carvalho, Yanan Li, Tito L. M. Luna +1
In this paper we study the asymptotic behavior of solutions for a non-local non-autonomous scalar quasilinear parabolic problem in one space dimension. Our aim is to give a fairly…