Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions
Narcisa Apreutesei, Alen Tosenberger, Vitaly A Volpert · Mathematical Modelling of Natural Phenomena · 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.