Global Well-posedness and Scattering for the Focusing Energy-critical Inhomogeneous Nonlinear Schrödinger Equation with Non-radial Data

2024/10/16 by Dongjin Park, Park, Dongjin · 1 citation
Mathematics · Physics and Astronomy · #35B40 (secondary) #35P25 #35Q55 (primary) #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2410.12321

openalex publication_date 2024/10/16 · openalex created_date 2024/10/20 · openalex updated_date 2026/07/28

Abstract

We consider the focusing energy-critical inhomogeneous nonlinear Schrödinger equation iu_t + Δu = -|x|^-b|u|^αu where n ≥ 3, 0<b multiple></b>

Cited by

• Finite-mass soliton-type rigidity and four-channel reduction for the three-dimensional nonradial focusing energy-critical nonlinear Schrödinger equation

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