2 citations · 2 across the 4 of their papers we have counts for
4 papers
Review of well-posedness methods for the 1D nonlinear Schrödinger equation with an application to combined nonlinearities
Alex D. Rodriguez, Gia Azcoitia, Hannah Wubben +1
We consider the nonlinear Schrödinger equation in one dimension with nonlinearities of type for any power and review two different methods for obtaining solutions, n…
Blow-up criteria for the 1D NLS with combined nonlinearities
Alex D Rodriguez
In this paper we develop two different types of criteria for the finite time blow-up solutions to the combined nonlinear Schrödinger equation in 1D. The first one is a negative ene…
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…
Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise
Annie Millet, Alex D Rodriguez, Svetlana Roudenko +1
We study the focusing stochastic nonlinear Schrödinger equation in one spatial dimension with multiplicative noise, driven by a Wiener process white in time and colored in space, i…