Improved almost Morawetz estimates for the cubic nonlinear Schrodinger equation

2009/09/04 by Benjamin Dodson, Dodson, Benjamin · 1 citation
Mathematics · #35G20 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35G20

paper · pdf · doi:10.48550/arxiv.0909.0757

20 pages

openalex publication_date 2009/09/04 · arxiv created 2009/09/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove global well-posedness for the cubic, defocusing, nonlinear Schrödinger equation on R² with data u₀ ∈ H^s(R²), s > 1/4. We accomplish this by improving the almost Morawetz estimates in [9].

Citations

• Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on \R²

Cited by

• Global well-posedness for the defocusing, quintic nonlinear Schrödinger equation in one dimension

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