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Journal Articles Mathematical Modelling of Natural Phenomena Year : 2013

Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions

Abstract

The paper is devoted to a reaction-diffusion equation in an infinite two-dimensional strip with nonlinear boundary conditions. The existence of travelling waves is proved in the bistable case by the Leray-Schauder method. It is based on a topological degree for elliptic problems in unbounded domains and on a priori estimates of solutions.

Dates and versions

hal-00846820 , version 1 (21-07-2013)

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Vitaly Volpert, Narcisa Apreutesei, Alen Tosenberger. Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions. Mathematical Modelling of Natural Phenomena, 2013, 8 (4), pp.2-17. ⟨10.1051/mmnp/20138302⟩. ⟨hal-00846820⟩
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