• Title of article

    Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition, II Original Research Article

  • Author/Authors

    L.E. Payne، نويسنده , , L.E. Payne and G.A. Philippin، نويسنده , , S. Vernier-Piro، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2010
  • Pages
    8
  • From page
    971
  • To page
    978
  • Abstract
    This paper deals with the blow-up of the solution to a semilinear second-order parabolic equation with nonlinear boundary conditions. It is shown that under certain conditions on the nonlinearities and data, blow-up will occur at some finite time and when blow-up does occur upper and lower bounds for the blow-up time are obtained.
  • Keywords
    Blow-up , Sobolev type inequalities
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Serial Year
    2010
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Record number

    862569