• Title of article

    The heat equation with singular nonlinearity and singular initial data

  • Author/Authors

    M. Loayza، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    20
  • From page
    509
  • To page
    528
  • Abstract
    We study the existence, uniqueness and regularity of positive solutions of the parabolic equation ut−Δu=a(x)uq+b(x)up in a bounded domain and with Dirichletʹs condition on the boundary. We consider here a Lα(Ω), b Lβ(Ω) and 00. We find a unique solution in the space .
  • Keywords
    Heat equation , Existence , Uniqueness , Singular initial data , Concave–convex nonlinearity
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Serial Year
    2006
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Record number

    750973

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=750973