Internal modes and radiation damping for quadratic Klein-Gordon in 3D

2021/12/25 by Tristan Léger, Fabio Pusateri, Léger, Tristan +1
Mathematics · Physics and Astronomy · #35L70 #35P25 #35Q40 #37K55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems

paper · pdf · doi:10.48550/arxiv.2112.13163

openalex publication_date 2021/12/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider Klein-Gordon equations with an external potential V and a quadratic nonlinearity in 3+1 space dimensions. We assume that V is regular and decaying and that the (massive) Schrödinger operator H=-Δ+V+m² has a positive eigenvalue λ²

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