Scattering theory for 3d cubic inhomogeneous NLS with inverse square potential

2021/07/24 by Ying Wang, Wang, Ying
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2107.11528

openalex publication_date 2021/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the scattering theory for the cubic inhomogeneous Schrödinger equations with inverse square potential iu_t+Δu-(a)/(|x|²)u=λ|x|^-b|u|²u with a&gt;-\frac14 and 0<b></b>

Citations

• Sobolev spaces adapted to the Schrödinger operator with inverse-square potential
• Global-in-time Strichartz estimates and cubic Schrödinger equation in a conical singular space

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