• Title of article

    Radius of analyticity and exponential convergence for spectral projections of the generalized KdV equation

  • Author/Authors

    Bjّrkavهg، نويسنده , , Magnar and Kalisch، نويسنده , , Henrik، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2010
  • Pages
    12
  • From page
    869
  • To page
    880
  • Abstract
    In this paper an exponential convergence rate for a spectral projection of the periodic initial-value problem for the generalized KdV equation is proved. Based on this convergence result, a method for determining the radius of analyticity of solutions of the generalized KdV equation is derived. Results from the new method and a similar method are compared.
  • Keywords
    02.70.Hm , Generalized Korteweg–de Vries equation , 47.35.Fg , Fourier–Galerkin method , Spectral convergence , 02.30.Jr , Radius of analyticity
  • Journal title
    Communications in Nonlinear Science and Numerical Simulation
  • Serial Year
    2010
  • Journal title
    Communications in Nonlinear Science and Numerical Simulation
  • Record number

    1534941