Dispersive decay for the inter-critical nonlinear Schrödinger equation in R3

Journal of Mathematical Analysis and Applications 2026 Open access

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Authors: Boyu Jiang, Jiawei Shen, Kexue Li
DOI: 10.1016/j.jmaa.2026.130677
Cited by: 1
References: 48

Abstract

This paper investigates the Cauchy problem for the nonlinear Schrödinger equation (NLS) in the mass-supercritical and energy-subcritical regime within three spatial dimensions. For initial data in the critical homogeneous Sobolev space H ˙ s c ( R 3 ) (where s c = 5 6 ), we get a uniform decay estimate for the long-time dynamics of solutions, which extends the previous results.

Fields of Study & Subjects

Advanced Mathematical Physics Problems Nonlinear Waves and Solitons Nonlinear Photonic Systems

Publication details

Journal / source
Journal of Mathematical Analysis and Applications
Publisher
Elsevier BV
Volume
562
Issue
2
Pages
130677–130677
Publication date
7 April 2026
Language
EN