• Title of article

    Remarks on infinite energy solutions of nonlinear wave equations Original Research Article

  • Author/Authors

    Shumao Liu، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    10
  • From page
    4231
  • To page
    4240
  • Abstract
    We first consider the existence of a solution of the critical semilinear wave equation in Besov space which extends the results in [P. Germain, Global infinite energy solutions of critical semilinear wave equation, Revista Matematica Iberoamericana 24 (2) (2008) 463–497] to general dimensions. Next we derive the existence and uniqueness of global solutions for a semilinear wave equation in Marcinkiewicz space.
  • Keywords
    Wave equation , Infinite energy solution , Bony’s paraproduct algorithm , Besov space , Lorentz space
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Serial Year
    2009
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Record number

    861530