4 papers
The semilinear suspension bridge model with pointwise dissipation
Vilmos Komornik, Jaime E. Munoz Rivera
This paper is devoted to the analysis of a semilinear suspension bridge model with pointwise localized dissipation. The main contribution of the work is the development of a robust…
From Linear to Nonlinear: A Resolvente criterion for Polynomial Stability of Semigroups Generated by Monotone Operators
Marcelo M. Cavalcanti, Valéria N. Domingos Cavalcanti, Jaime E. Munõz Rivera
The Borichev--Tomilov theorem \cite{BT2010} provides a sharp characterization of polynomial decay for linear -semigroups in terms of resolvent growth along the imaginary axis.…
Global attractors for the Signorini problem with pointwise damping
Jaime E. Muñoz Rivera, Maria Grazia Naso
The existence of global attractors is investigated for the Signorini problem with pointwise dissipation. It is shown that both the semilinear Signorini problem and the elastic obst…
The Gevrey class of the Euler-Bernoulli beam model with singularities
Jaime E. Munoz Rivera, Maria Grazia Naso, Bruna T. Silva Sozzo
We study the Euler-Bernoulli beam model with singularities at the points , and with localized viscoelastic dissipation of Kelvin-Voigt type. We assume that the bea…