• Title of article

    Generalized solutions of parabolic initial value problems with discontinuous nonlinearities

  • Author/Authors

    H. Deguchi، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2006
  • Pages
    14
  • From page
    583
  • To page
    596
  • Abstract
    We proved recently that parabolic initial value problems with discontinuous nonlinearities have no unique weak solution in general, but have a unique generalized solution in the sense of Colombeau. In this paper we study the relationship between generalized solutions and weak solutions. © 2005 Elsevier Inc. All rights reserved
  • Keywords
    Parabolic initial value problems , Discontinuous nonlinearities , Generalized solutions
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2006
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    934905