Transition fronts for inhomogeneous monostable reaction-diffusion equations via linearization at zero

We prove the existence of transition fronts for a large class of reaction-diffusion equations in one dimension, with inhomogeneous monostable reactions. We construct these as perturbations of corresponding front-like solutions to the linearization of the PDE at u = 0. While a close relationship betw...

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Veröffentlicht in:	Nonlinearity 2014-09, Vol.27 (9), p.2409-2416
Hauptverfasser:	Tao, Tianyu, Zhu, Beite, Zlatoš, Andrej
Format:	Artikel
Sprache:	eng
Schlagworte:	Construction Linearization monostable reactions Nonlinearity Partial differential equations Perturbation Reaction-diffusion equations transition fronts
Online-Zugang:	Volltext
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