9 citations · 24 across the 18 of their papers we have counts for
4 papers · 1 filter
Local well-posedness for the biharmonic nonlinear Schrödinger equation in low dimensions
Iryna Petrenko, Oscar Riaño, Svetlana Roudenko
In this paper we consider the 4th order (or biharmonic) nonlinear Schrödinger (NLS) equation in dimensions 1, 2, and 3, where the potential term is expressed as a power non-lineari…
Decay and regularity properties for the dispersion generalized Benjamin-Ono equation
Germán Fonseca, Oscar Riaño, Guillermo Rodríguez-Blanco
We study spatial decay properties of solutions to the dispersion generalized Benjamin-Ono equation. We first establish persistence properties in weighted Sobolev spaces under a sha…
On Kato's smoothing effects for KdV and Benjamin type equations
Carlos Garzón, Oscar Riaño
We analyze how the interaction between local and nonlocal dispersions, combined with different types of nonlinearities, influences the smoothing effects of solutions. To achieve th…
The nonlinear Schrödinger equation with combined nonlinearities in 1D
Oscar Riaño, Alex D Rodriguez, Svetlana Roudenko
We consider the one-dimensional nonlinear Schrödinger equation with the nonlinearity term that is expressed as a s…