Maykel Belluzi

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math.AP2024

Perturbation of parabolic equations with time-dependent linear operators: convergence of linear processes and solutions

Maykel Belluzi

In this work we consider parabolic equations of the form \[ (u_{\varepsilon})_t +A_{\varepsilon}(t)u_{\varepsilon} = F_{\varepsilon} (t,u_{{\varepsilon} }), \] where $ε$ …

math.AP2020

Pullback and uniform attractors for nonautonomous reaction-diffusion equation in Dumbbell domains

Maykel Belluzi, Tomás Caraballo, Marcelo J. D. Nascimento +1

This work is devoted to the study of the asymptotic behavior of nonautonomous reaction-diffusion equations in Dumbbell domains $Ω_{ε} \subset R^{N}$ . Each $Ω_{\v…