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Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions
Published online by Cambridge University Press: 12 June 2013
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.
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- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 8 , Issue 3: Front Propagation , 2013 , pp. 2 - 17
- Copyright
- © EDP Sciences, 2013
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