Convergence to periodic fronts in a class of semilinear parabolic equations

  • Gawtum Namah
  • Jean-Michel Roquejoffre


A class of scalar autonomous parabolic equations, nonlinear with respect to the unknown and its gradient, is investigated. The main topic of this paper is the convergence of the solutions of the Cauchy Problem towards solutions which exhibit, modulo a linear growth in time, periodic spatiotemporal oscillations. Different generalizations are discussed.


Cauchy Problem Parabolic Equation Main Topic Linear Growth Spatiotemporal Oscillation 
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Copyright information

© Birkhäuser Verlag, Basel, 1997

Authors and Affiliations

  • Gawtum Namah
    • 1
  • Jean-Michel Roquejoffre
    • 2
  1. 1.Mathématiques Appliquées de Bordeaux, Université Bordeaux I, F-33405 Talence Cedex, FranceFR
  2. 2.UFR MIG, Université Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse Cedex, FranceFR

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