5 citations · 5 across the 4 of their papers we have counts for
5 papers
Unique continuation for the periodic Benjamin-Bona-Mahony equation
Roberto de A. Capistrano Filho, Victor Hugo Gonzalez Martinez, Ailton Campos do Nascimento
We prove unique continuation for the real periodic Benjamin--Bona--Mahony equation in the energy space: a solution that equals a constant on a nonempty space--time strip is that co…
Asymptotic behavior of Kawahara equation with memory effect
Roberto de A. Capistrano Filho, Boumediène Chentouf, Isadora Maria de Jesus
In this work, we are interested in a detailed qualitative analysis of the Kawahara equation, a model that has numerous physical motivations such as magneto-acoustic waves in a cold…
Approximation theorem for the Kawahara operator and its application in control theory
Roberto de A. Capistrano Filho, Luan S. de Sousa, Fernando A. Gallego
Control properties of the Kawahara equation are considered when the equation is posed on an unbounded domain. Precisely, the paper's main results are related to an approximation th…
Infinite memory effects on the stability of Biharmonic Schrödinger equation
Roberto de A. Capistrano Filho, Isadora Maria de Jesus, Victor Hugo Gonzalez Martinez
This paper deals with the stabilization of the linear Biharmonic Schrödinger equation in an -dimensional open bounded domain under Dirichlet-Neumann boundary conditions consider…
Forcing operators on star graphs applied for the cubic fourth order Schrödinger equation
Roberto de A. Capistrano Filho, Márcio Cavalcante, Fernando A. Gallego
In a recent article \textit{"Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane", to appear on Pacific Journal of Mathematics [15]}, the authors g…