33 citations · 76 across the 32 of their papers we have counts for
8 papers · 2 filters
Global well-posedness and critical norm concentration for inhomogeneous biharmonic NLS
Mykael Cardoso, Carlos M. Guzmán, Ademir Pastor
We consider the inhomogeneous biharmonic nonlinear Schrödinger (IBNLS) equation in , where and . We firs…
Scattering of radial solutions for quadratic-type Schrödinger systems in dimension five
Norman Noguera, Ademir Pastor
In this paper we study the scattering of radial solutions to a -component system of nonlinear Schrödinger equations with quadratic-type growth interactions in dimension five. Ou…
Persistence properties for the dispersion generalized BO-ZK equation in weighted anisotropic Sobolev spaces
Alysson Cunha, Ademir Pastor
In this paper we study the initial-value problem associated with the dispersion generalized-Benjamin-Ono-Zakharov-Kuznetsov equation, $$ u_{t}+D^{a+1}_x \partial_{x}u+u_{xyy}+uu_{x…
Existence of solutions for the surface electromigration equation
Felipe Linares, Ademir Pastor, Marcia Scialom
We consider a model that describes electromigration in nanoconductors known as surface electromigration (SEM) equation. Our purpose here is to establish local well-posedness for th…
Orbital stability of one-parameter periodic traveling waves for dispersive equations and applications
Thiago Pinguello de Andrade, Ademir Pastor
This paper establishes suficient conditions for the orbital stability of one-parameter spatially periodic traveling-wave solutions for one-dimensional dispersive equations. Our met…
Blow-up solutions for a system of Schrödinger equations with general quadratic-type nonlinearities in dimensions five and six
Norman Noguera, Ademir Pastor
In this work, we show the existence of ground state solutions for an -component system of non-linear Schrödinger equations with quadratic-type growth interactions in the energy-…