• Title of article

    Global blow-up for a localized nonlinear parabolic equation with a nonlocal boundary condition

  • Author/Authors

    Chen، نويسنده , , Youpeng and Liu، نويسنده , , Lihua، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2011
  • Pages
    10
  • From page
    421
  • To page
    430
  • Abstract
    This paper deals with the blow-up properties of positive solutions to a nonlinear parabolic equation with a localized reaction source and a nonlocal boundary condition. Under certain conditions, the blowup criteria is established. Furthermore, when f ( u ) = u p , 0 < p ⩽ 1 , the global blowup behavior is shown, and the blowup rate estimates are also obtained.
  • Keywords
    Nonlinear parabolic equation , Localized reaction source , Nonlocal boundary condition , Blowup rate , Global blowup
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2011
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1562176

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1562176