Uniqueness of fast travelling fronts in reaction-diffusion equations with delay

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dc.creatorAguerrea, Maitere
dc.creatorTrofimchuk, Sergei
dc.creatorValenzuela, Gabriel
dc.date2008-04-02
dc.date.accessioned2026-07-07T09:29:53Z
dc.date.available2026-07-07T09:29:53Z
dc.descriptionWe consider positive travelling fronts of the time-delayed reaction-diffusion equation with the monostable birth function. Our main result says that for every fixed and sufficiently large velocity c, the positive travelling front is unique (modulo translations). To prove the uniqueness, we introduce a small parameter 1/c and realize the Lyapunov-Schmidt reduction in a scale of Banach spaces.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0804.0377
dc.identifierhttp://arxiv.org/abs/0804.0377
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157951
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subject35K57; 92D25
dc.titleUniqueness of fast travelling fronts in reaction-diffusion equations with delay
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