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[02483] Existence and uniqueness of traveling wave solutions for competition-diffusion systems

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @G502
  • Type : Contributed Talk
  • Abstract : In this talk, we will consider the existence and uniqueness of traveling wave solutions for a class of competition-diffusion models. We find a necessary and sufficient condition for the existence of non-decreasing traveling wave solutions connecting trivial and positive equilibria. Moreover, with the help of the asymptotic behaviors of such solutions at positive infinity, we also prove that traveling wave solutions are unique up to translations.
  • Classification : 35K40, 35K57, 35B35
  • Format : Talk at Waseda University
  • Author(s) :
    • Jian-Jhong Lin (National Taipei University of Technology)