Local and global well-posedness in L²(\mathbb Rⁿ) for the inhomogeneous nonlinear Schrödinger equation

2021/07/02 by JinMyong An, An, JinMyong, Jinmyong Kim +1
Mathematics · Physics and Astronomy · #2010 MSC: 35Q55 #46E30 #49K40 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2107.00790

openalex publication_date 2021/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper investigates the local and global well-posedness for the inhomogeneous nonlinear Schrödinger (INLS) equation iu_t +Δu=λ|x|^-b |u|^σ u, u(0)=u₀ ∈ L²(\mathbb Rⁿ), where λ∈ \mathbb C, 0<b></b>

Citations

• Scattering for the radial focusing INLS equation in higher dimensions

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