S. Roudenko

activity

20062026

most citedA sharp condition for scattering of the radial 3d cubic nonlinear Schroedinger equation

307 citations · 580 across the 47 of their papers we have counts for

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Showing 2026 · math.APShow all

3 papers · 2 filters

math.AP2026

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…

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

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…