4 citations · 9 across the 6 of their papers we have counts for
7 papers
Existence theory of the nonlinear plate equations
Carlos Banquet, Gilmar Garbugio, Élder J. Villamizar-Roa
This paper is devoted to the theoretical analysis of the nonlinear plate equations in with nonlinearity involving a type polynomial beh…
On the management fourth-order Schrödinger-Hartree equation
Carlos Banquet, Élder J. Villamizar-Roa
We consider the Cauchy problem associated to the fourth-order nonlinear Schrödinger-Hartree equation with variable dispersion coefficients. The variable dispersion coefficients are…
Time-decay and Strichartz estimates for the Benjamin-Bona-Mahony equation and existence of solutions on modulation spaces
Carlos Banquet, Élder J. Villamizar-Roa
In this paper we derive time-decay and Strichartz estimates for the generalized Benjamin-Bona-Mahony equation on the framework of modulation spaces We use this results…
Existence theory for the Boussinesq equation in Modulation spaces
Élder J. Villamizar-Roa, Carlos Banquet Brango
In this paper we study the Cauchy problem for the generalized Boussinesq equation with initial data in modulation spaces After a deco…
On the Schrödinger equations with isotropic and anisotropic fourth-order dispersion
Carlos Banquet, Elder J. Villamizar-Roa
This paper deals with the Cauchy problem associated to the nonlinear fourth-order Schrödinger equation with isotropic and anisotropic mixed dispersion. This model is given by the e…
Nonlinear Stability for the Periodic and Non-Periodic Zakharov System
Jaime Angulo, Carlos Banquet
We prove the existence of a smooth curve of periodic traveling wave solutions for the Zakharov system. We also show that this type of solutions are nonlinear stable by the periodic…
Nonlinear Stability of Periodic Travelling Wave Solutions for the Regularized Benjamin-Ono and BBM Equations
Jaime Angulo, Marcia Scialom, Carlos Banquet
This paper has various goals: first, we develop a local and global well-posedness theory for the regularized Benjamin-Ono equation in the periodic setting, second, we show that the…