A Decay estimate for cubic defocusing non-linear Schrödinger equation in three dimensions

2025/12/03 by Yi Sun, Sun, Yi
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2512.03631

openalex publication_date 2025/12/03 · openalex created_date 2025/12/05 · openalex updated_date 2026/07/28

Abstract

In this short note, we prove a decay estimate for non-linear solutions of 3D cubic defocusing non-linear Schrödinger equation.

Citations

• Dispersive decay for the mass-critical nonlinear Schrödinger equation
• Pointwise Decay of solutions to the energy critical nonlinear Schrödinger equations
• A note on decay property of nonlinear Schrödinger equations
• Scattering for the defocusing, cubic nonlinear Schrödinger equation with initial data in a critical space
• Decay estimates for nonlinear Schrödinger equations
• Dispersive decay of small data solutions for the KdV equation
• Global well-posedness and scattering for the defocusing quintic NLS in three dimensions
• Scattering for H¹/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions

Related

• On decaying properties of nonlinear Schrödinger equations
• Decay estimates for nonlinear Schrödinger equations
• Global well-posedness for the defocusing, cubic, nonlinear Schrodinger equation when n = 3 via a linear-nonlinear decomposition
• A note on decay property of nonlinear Schrödinger equations
• Dynamics of the focusing 3D cubic NLS with slowly decaying potential