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Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions

Published online by Cambridge University Press:  12 June 2013

N. Apreutesei
Affiliation:
Department of Mathematics, “Gheorghe Asachi" Technical University Bd. Carol. I, 700506 Iasi, Romania
A. Tosenberger
Affiliation:
Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France
V. Volpert*
Affiliation:
Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France
*
Corresponding author. E-mail: volpert@math.univ-lyon1.fr
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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.

Type
Research Article
Copyright
© EDP Sciences, 2013

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References

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