4 citations · 10 across the 16 of their papers we have counts for
16 papers
Wellposedness and asymptotic behavior of solutions for the quintic wave equation with nonlocal dissipation
Marcelo Cavalcanti, Valéria Domingos Cavalcanti, Josiane Faria +1
We investigate a semilinear wave equation with energy-critical nonlinearity and a nonlinear damping mechanism driven by the total energy of the system. The model combines the quint…
Uniform stabilization for the semi-linear wave equation with nonlinear Kelvin-Voigt damping
Kaïs Ammari, Marcelo M. Cavalcanti, Sabeur Mansouri
This paper is concerned with the decay estimate of solutions to the semilinear wave equation subject to two localized dampings in a bounded domain. The first one is of the nonlinea…
Stabilization of weakly coupled viscoelastic Kirchhoff plate and wave equations
Zayd Hajjej, Mohammad Akil, Mohamed Balegh +1
In this paper, we consider a weakly coupled system consisting of a viscoelastic Kirchhoff plate equation involving free boundary conditions and the viscoelastic wave equation with…
Semi-classical defect measure and internal stabilization for the semilinear wave equation subject to Zarembaboundary conditions
Marcelo Cavalcanti, Pierre Cornilleau, Valéria Domingos Cavalcanti +2
In this article we exploite the uniform decay for damped linear wave equation with Zaremba boundary condition, obtained in a previous work, to treat the same problem in nonlinear c…
Well-posedness and stability for Schrödinger equations with infinite memory
Marcelo Cavalcanti, Valeria Domingos Cavalcanti, Aissa Guesmia +1
We study in this paper the well-posedness and stability for two linear Schrödinger equations in -dimensional open bounded domain under Dirichlet boundary conditions with an infi…
Decay rate estimates for the wave equation with subcritical semilinearities and locally distributed nonlinear dissipation
Marcelo M. Cavalcanti, Valeria N. Domingos Cavalcanti, Victor H. Gonzalez Martinez +1
We study the stabilization and the wellposedness of solutions of the wave equation with subcritical semilinearities and locally distributed nonlinear dissipation. The novelty of th…