Geodesic
Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions
N. Apreutesei1 ; A. Tosenberger2 ; V. Volpert2
1 Department of Mathematics, “Gheorghe Asachi" Technical University Bd. Carol. I, 700506 Iasi, Romania
2 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France
Mathematical modelling of natural phenomena, Tome 8 (2013) no. 3, pp. 2-17.

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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.
DOI : 10.1051/mmnp/20138302

N. Apreutesei 1 ; A. Tosenberger 2 ; V. Volpert 2

1 Department of Mathematics, “Gheorghe Asachi" Technical University Bd. Carol. I, 700506 Iasi, Romania
2 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France 
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N. Apreutesei; A. Tosenberger; V. Volpert. Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions. Mathematical modelling of natural phenomena, Tome 8 (2013) no. 3, pp. 2-17. doi : 10.1051/mmnp/20138302. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20138302/

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