Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions

@inproceedings{Apreutesei2013ExistenceOR,
  title={Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions},
  author={Narcisa C. Apreutesei and Alen Tosenberger and Vitaly Volpert},
  year={2013}
}
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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