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<p>We prove global well-posedness and scattering for the massive Dirac-Klein-Gordon system with small and low regularity initial data in dimension two; a non-resonance condition on the masses is imposed. To achieve this we introduce new resolutions spaces which act as an effective replacement of the normal form transformation.</p>

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Global Well-Posedness and Scattering for the Massive Dirac-Klein-Gordon System in Two Dimensions

  • 期刊论文

  • 发表日期：

    2025年12月6日

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  • Ioan Bejenaru,
  • Vitor Borges

摘要

We prove global well-posedness and scattering for the massive Dirac-Klein-Gordon system with small and low regularity initial data in dimension two; a non-resonance condition on the masses is imposed. To achieve this we introduce new resolutions spaces which act as an effective replacement of the normal form transformation.