4 citations · 10 across the 16 of their papers we have counts for
5 papers · 2 filters
Boundary Control for a Generalized Wave Equation -- Revisiting Russell's Method of Control
M. Astudillo, M. M. Cavalcanti, V. N. Domingos Cavalcanti +1
In this work we study the exact boundary controllability of a generalized wave equation in a nonsmooth domain with a nontrapping obstacle. In the more general case, this work conte…
Exponential stability for the nonlinear Schrödinger equation with locally distributed damping
Marcelo M. Cavalcanti, Wellington J. Corrêa, Türker Özsari +2
In this paper, we study the defocusing nonlinear Schrödinger equation with a locally distributed damping on a smooth bounded domain as well as on the whole space and on an exterior…
Exponential decay for the semilinear wave equation with localized Kelvin-Voight damping
Maria Rosario Astudillo Rojas, Marcelo M. Cavalcanti, Wellington J. Correa +3
In the present paper, we are concerned with the semilinear viscoelastic wave equation subject to a locally distributed dissipative effect of Kelvin-Voigt type, posed on a bounded d…
Dynamics of Riemann waves with sharp measure-controlled damping
M. M. Cavalcanti, T. F. Ma, P. Marín-Rubio +1
This paper is concerned with locally damped semilinear wave equations defined on compact Riemannian manifolds with boundary. We present a construction of measure-controlled damping…
Uniform decay rates for a suspension bridge with locally distributed nonlinear damping
Andre D. Domingos Cavalcanti, Marcelo M. Cavalcanti, Wellington J. Correa +3
We study a nonlocal evolution equation modeling the deformation of a bridge, either a footbridge or a suspension bridge. Contrarily to the previous literature we prove the asymptot…