On long time behavior for stochastic nonlinear Schrödinger equations with a multiplicative noise

2020/10/21 by Chenjie Fan, Fan, Chenjie, Zehua Zhao +1 · 2 citations
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2010.11045

openalex publication_date 2020/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we study Stochastic mass critical nonlinear Schrödinger equations with a multiplicative noise in 3D with a slight time decay (⟨ t ⟩^-ε), and prove associated space-time bound and scattering behavior.

Citations

• Nonlinear Schr�dinger equations and sharp interpolation estimates
• Decay estimates for Schrödinger operators

Cited by

• Global Well-posedness and Scattering for Stochastic generalized KdV Equations with additive noise
• Long time behavior of stochastic NLS with a small multiplicative noise

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