33 citations · 76 across the 32 of their papers we have counts for
44 papers
Blow-up of radially symmetric solutions for a cubic NLS type system in dimension 4
Maicon Hespanha, Ademir Pastor
This paper is concerned with a cubic nonlinear Schrödinger system modeling the interaction between an optical beam and its third harmonic in a material with Kerr-type nonlinear res…
On the decay of solutions for the negative fractional KdV equation
Alysson Cunha, Oscar Riaño, Ademir Pastor
We explore the limits of fractional dispersive effects and their incidence in the propagation of polynomial weights. More precisely, we consider the fractional KdV equation when a…
On the relation between decay and regularity of solutions to the modified Korteweg-de Vries equation
Alexander Muñoz, Ademir Pastor
This work is devoted to study the relation between the regularity index and the decay for solutions of the modified Korteweg-de Vries equation in weighted Sobolev spaces. We show i…
Exact controllability and stabilization for linear dispersive PDE's on the two-dimensional torus
Francisco J. Vielma Leal, Ademir Pastor
The moment method is used to prove the exact controllability of a wide class of bidimensional linear dispersive PDE's posed on the two-dimensional torus The contr…
Threshold solutions for cubic Schrödinger systems
Luccas Campos, Ademir Pastor
We consider the following Scrödinger system $$\begin{cases}\displaystyle i\partial_t u + Δu +(|u|^2+β|v|^2) u= 0, \\ \displaystyle i\partial_t v + Δv +(|v|^2+β|u|^2) v = 0,\end{cas…
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…