7 papers
Higher dimensional generalization of the Benjamin-Ono equation: 2D case
Oscar Riaño, Svetlana Roudenko, Kai Yang
We consider a higher-dimensional version of the Benjamin-Ono (HBO) equation in the 2D setting: , which is $L^2…
Well-posedness in weighted spaces for the generalized Hartree equation with
Anudeep K. Arora, Oscar Riaño, Svetlana Roudenko
We investigate the well-posedness in the generalized Hartree equation , , , for low powers of nonlinea…
On persistence properties in weighted spaces for solutions of the fractional Korteweg-de Vries equation
Oscar Riaño
Persistence problems in weighted spaces have been studied for different dispersive models involving non-local operators. Generally, these models do not propagate polynomial weights…
On some regularity properties for the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov Equation
Ricardo. C. Freire, Argenis J. Mendez, Oscar Riaño
This work aims to study some smoothness properties concerning the initial value problem associated to the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation. More prec…
Well-posedness for a two-dimensional dispersive model arising from capillary-gravity flows
Oscar Riaño
This paper is aimed to establish well-posedness in several settings for the Cauchy problem associated to a model arising in the study of capillary-gravity flows. More precisely, we…
The IVP for a higher dimensional version of the Benjamin-Ono equation in weighted Sobolev spaces
Oscar G. Riaño
We study the initial value problem associated to a higher dimensional version of the Benjamin-Ono equation. Our purpose is to establish local well-posedness results in weighted Sob…