Instability of the standing waves for the nonlinear Klein-Gordon equations in one dimension

2017/05/11 by Yifei Wu, Wu, Yifei
Engineering · Mathematics · Physics and Astronomy · #35B35 #35L70 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1705.04216

openalex publication_date 2017/05/11 · openalex created_date 2022/11/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider the following nonlinear Klein-Gordon equation ∂_ttu-Δu+u=|u|^p-1u, t∈ ℝ, x∈ ℝ^d, with 1

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