• Title of article

    Dynamics in dumbbell domains I. Continuity of the set of equilibria

  • Author/Authors

    José M. Arrieta، نويسنده , , Alexandre N. Carvalho، نويسنده , , German Lozada-Cruz، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    47
  • From page
    551
  • To page
    597
  • Abstract
    We analyze the dynamics of a reaction–diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain. We provide an appropriate functional setting to treat this problem and, as a first step, we show in this paper the continuity of the set of equilibria and of its linear unstable manifolds
  • Keywords
    Reaction–diffusion equation , Stationary solutions , continuity , Dumbbell domains
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Serial Year
    2006
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Record number

    751038