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math.AP2020
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…
math.AP2020
Control and exponential stability for a transmission problem of a viscoelastic wave equation
Remi Buffe, Marcelo Cavalcanti, Valéria Domingos Cavalcanti +1
In this article, we consider the energy decay of a viscoelastic wave in an heterogeneous medium. To be more specific, the medium is composed of two different homogeneous medium wit…