Bootstrapped Morawetz Estimates And Resonant Decomposition For Low Regularity Global Solutions Of Cubic NLS On R²

2008/11/12 by Jim Colliander, Colliander, Jim, Tristan Roy +1
Engineering · Mathematics · #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #math.AP #msc:35Q55

paper · pdf · doi:10.48550/arxiv.0811.1803

16 pages

arxiv created 2008/11/12 · openalex publication_date 2008/11/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We prove global well-posedness for the L²-critical cubic defocusing nonlinear Schrödinger equation on R² with data u₀ ∈ H^s(R²) for s > 1/3.

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