16 citations · 18 across the 4 of their papers we have counts for
4 papers
Stabilization of the Kawahara-Kadomtsev-Petviashvili equation with time-delayed feedback
Roberto de A. Capistrano-Filho, Victor H. Gonzalez Martinez, Juan Ricardo Muñoz
Results of stabilization for the higher order of the Kadomtsev-Petviashvili equation are presented in this manuscript. Precisely, we prove with two different approaches that under…
Two stability results for the Kawahara equation with a time-delayed boundary control
Roberto de A. Capistrano-Filho, Boumediène Chentouf, Luan S. de Sousa +1
In this paper, we consider the Kawahara equation in a bounded interval and with a delay term in one of the boundary conditions. Using two different approaches, we prove that this s…
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…
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…