On the stability of the state 1 in the non-local Fisher-KPP equation in bounded domains

Abstract : We consider the non-local Fisher-KPP equation on a bounded domain with Neu-mann boundary conditions. Thanks to a Lyapunov function, we prove that under a general hypothesis on the Kernel involved in the non-local term, the homogenous steady state 1 is globally asymptotically stable. This assumption happens to be linked to some conditions given in the literature, which ensure that travelling waves link 0 to 1.
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https://hal.sorbonne-universite.fr/hal-01686461
Contributor : Camille Pouchol <>
Submitted on : Wednesday, January 17, 2018 - 2:11:21 PM
Last modification on : Tuesday, December 10, 2019 - 3:08:21 PM
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  • HAL Id : hal-01686461, version 1
  • ARXIV : 1801.05653

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Camille Pouchol. On the stability of the state 1 in the non-local Fisher-KPP equation in bounded domains. 2018. ⟨hal-01686461⟩

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