Alex D. Rodriguez

collaborators

3 papers

math.AP2026

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 $∣ u ∣^{α} u$ for any power $α > 0$ and review two different methods for obtaining solutions, n…

math.AP2026

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…

math.AP2026

The nonlinear Schrödinger equation with combined nonlinearities in 1D

Oscar Riaño, Alex D Rodriguez, Svetlana Roudenko

We consider the one-dimensional nonlinear Schrödinger equation $i u_{t} + u_{xx} + N (u) u = 0, x, t \in R,$ with the nonlinearity term that is expressed as a s…