• Title of article

    Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation

  • Author/Authors

    Shuji Machihara، نويسنده , , Makoto Nakamura، نويسنده , , Kenji Nakanishi، نويسنده , , Tohru Ozawa، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    20
  • From page
    1
  • To page
    20
  • Abstract
    We prove endpoint Strichartz estimates for the Klein–Gordon and wave equations in mixed norms on the polar coordinates in three spatial dimensions. As an application, global wellposedness of the nonlinear Dirac equation is shown for small data in the energy class with some regularity assumption for the angular variable.
  • Keywords
    Endpoint Strichartz estimates , Klein-Gordon equation , Nonlinear Dirac equation
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    2005
  • Journal title
    Journal of Functional Analysis
  • Record number

    761918