Decay estimates for nonlinear Schrödinger equations

2020/07/09 by Chenjie Fan, Fan, Chenjie, Zehua Zhao +1 · 2 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2007.04491

openalex publication_date 2020/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note, we present some decay estimates for nonlinear solutions of 3d quintic, 3d cubic and 2d quintic NLS (nonlinear Schrödinger equations).

Citations

• Uniform decay estimates and the lorentz invariance of the classical wave equation

Cited by

• A Decay estimate for cubic defocusing non-linear Schrödinger equation in three dimensions
• Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation

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