A variational proof of global stability for bistable travelling waves

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dc.creatorGallay, Thierry
dc.creatorRisler, Emmanuel
dc.date2006-12-22
dc.date.accessioned2026-07-07T07:36:50Z
dc.date.available2026-07-07T07:36:50Z
dc.descriptionWe give a variational proof of global stability for bistable travelling waves of scalar reaction-diffusion equations on the real line. In particular, we recover some of the classical results by P. Fife and J.B. McLeod without any use of the maximum principle. The method that is illustrated here in the simplest possible setting has been successfully applied to more general parabolic or hyperbolic gradient-like systems.
dc.description21 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0612684
dc.identifierhttp://arxiv.org/abs/math/0612684
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120568
dc.subjectAnalysis of PDEs
dc.subject35K57; 34D23; 37B25
dc.titleA variational proof of global stability for bistable travelling waves
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