Asymptotic spreading for general heterogeneous Fisher-KPP type equations

Asymptotic spreading for general heterogeneous Fisher-KPP type equations

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Auteurs principaux : Berestycki Henri (Auteur), Nadin Grégoire (Auteur)
Format : Livre
Langue : anglais
Titre complet : Asymptotic spreading for general heterogeneous Fisher-KPP type equations / Henri Berestycki, Grégoire Nadin
Publié : Providence (R.I.) : American Mathematical Society , 2022
Description matérielle : 1 vol. (VI-100 p.)
Collection : Memoirs of the American Mathematical Society ; 1381
Sujets :
Équations différentielles > Théorie asymptotique
Documents associés : Autre format: Asymptotic spreading for general heterogeneous Fisher-KPP type equations
  • Introduction
  • A general formula for the expansion sets
  • Exact asymptotic spreading speed in different frameworks
  • Properties of the generalized principal eigenvalues
  • Proof of the spreading property
  • The homogeneous, periodic and compactly supported cases
  • The almost periodic case
  • The uniquely ergodic case
  • The radially periodic case
  • The space-independent case
  • The directionally homogeneous case
  • Proof of the spreading property with the alternative definition
  • Proof of the spreading property with the alternative definition of the expansion sets and applications
  • Further examples and other open problems
  • Bibliography