33 citations · 76 across the 32 of their papers we have counts for
6 papers · 2 filters
Control and stabilization for the dispersion generalized Benjamin equation on the circle
Francisco J. Vielma Leal, Ademir Pastor
This paper is concerned with controllability and stabilization properties of the dispersion generalized Benjamin equation on the periodic domain First, by assuming th…
Two simple criterion to obtain exact controllability and stabilization of a linear family of Dispersive PDE's on a periodic domain
Francisco J. Vielma Leal, Ademir Pastor
In this work, we use the classical moment method to find a practical and simple criterion to determine if a family of linearized Dispersive equations on a periodic domain is exactl…
Local well-posedness in weighted Sobolev spaces for nonlinear dispersive equations with applications to dispersive blow up
Alexander Muñoz, Ademir Pastor
In the first part of this work we study the local well-posedness of dispersive equations in the weighted spaces . We then apply our results for…
Some remarks on the inhomogeneous biharmonic NLS equation
Carlos M. Guzmán, Ademir Pastor
We consider the inhomogeneous biharmonic nonlinear Schrödinger equation where and , . In the subctritical case, we improve…
Cnoidal Waves for the cubic nonlinear Klein-Gordon and Schrödinger Equations
Guilherme de Loreno, Gabriel E. B. Moraes, Fábio Natali +1
In this paper, we establish orbital stability results for \textit{cnoidal} periodic waves of the cubic nonlinear Klein-Gordon and Schrödinger equations in the energy space restrict…
Scattering for quadratic-type Schrödinger systems in dimension five without mass-resonance
Norman Noguera, Ademir Pastor
In this paper we study the scattering of non-radial solutions in the energy space to coupled system of nonlinear Schrödinger equations with quadratic-type growth interactions in di…