5 citations · 5 across the 7 of their papers we have counts for
6 papers · 1 filter
Well-posedness for some third-order evolution differential equations: A semigroup approach
Flank D. M. Bezerra, Alexandre N. Carvalho, Lucas A. Santos
In this paper, we discuss the well-posedness of the Cauchy problem associated with the third-order evolution equation in time $$ u_{ttt} +A u + ηA^{\frac13} u_{tt} +ηA^{\frac23} u_…
The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations
Tomás Caraballo, Alexandre N. de Carvalho, José A. Langa +1
In this work we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random/stochastic perturbations. For the linear case, we study robustnes…
Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations
Tomás Caraballo, Alexandre N. Carvalho, José Antonio Langa +1
In this paper, we study stability properties of nonuniform hyperbolicity for evolution processes associated with differential equations in Banach spaces. We prove a robustness resu…
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…
Lipschitz perturbations of Morse-Smale semigroups
M. C. Bortolan, C. A. E. N. Cardoso, A. N. Carvalho +1
In this paper we will deal with Lipschitz continuous perturbations of Morse-Smale semigroups with only equilibrium points as critical elements. We study the behavior of the structu…
Rate of Convergence of Attractors for Singularly Perturbed Semilinear Problems
Leonardo Pires, Alexandre Nolasco de Carvalho
We exhibit a class of singularly perturbed parabolic problems which the asymptotic behavior can be described by a system of ordinary differential equation. We estimate the converge…