Dichotomy Results for the Electromagnetic Schrödinger Equation

2024/12/28 by Magdalena Czubak, Ian Miller, Czubak, Magdalena +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #35A01 #35B44 #35Q55 #35Q60 #Analysis of PDEs (math.AP) #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2412.20239

openalex publication_date 2024/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The electromagnetic nonlinear Schrödinger (emNLS) equation is a variant of the well-studied nonlinear Schrödinger equation. In this article, we consider questions of global existence or blow-up for emNLS in dimensions 3 and higher.

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