On global well-posedness and scattering for the massive Dirac–Klein–Gordon system

2014/09/30 by Ioan Bejenaru, Sebastian Herr · 22 citations
Mathematics · #Advanced Mathematical Physics Problems #Dimension (graph theory) #Geometry and complex manifolds #Nonlinear Partial Differential Equations #Scattering #Scattering length #Scattering theory #math.AP

paper · pdf · doi:10.4171/jems/721

published in Journal of the European Mathematical Society 19(8), 2445-2467 (European Mathematical Society) · 24 pages

arxiv created 2015/04/09 · openalex created_date 2016/06/24 · openalex publication_date 2017/06/27 · arxiv updated 2018/04/12 · openalex updated_date 2026/08/05

Abstract

We prove global well-posedness and scattering for the massive Dirac–Klein–Gordon system with small initial data of subcritical regularity in dimension three. To achieve this, we impose a non-resonance condition on the masses.

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• Transference of bilinear restriction estimates toquadratic variation norms and the Dirac–Klein–Gordon system

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