3 papers
math.AP2026
Asymptotic behavior of the wave equation subject to a Kelvin-Voigt nonlocal damping
Marcelo Cavalcati, Valéria Domingos Cavalcanti, Josiane Faria +1
In this article, we examine the well-posedness and asymptotic behavior of the energy associated with the wave equation that incorporates a Kelvin-Voigt nonlocal damping structure g…
math.AP2026
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…
math.AP2024
Carleman estimates for parabolic equations with super strong degeneracy in a set of positive measure
Bruno S. V. Araújo, Reginaldo Demarque, Josiane C. O. Faria +1
This work is concerned with the obtainment of new Carleman estimates for linear parabolic equations, where the second-order differential operator brings a super strong degeneracy i…