Wave pinning in strips
We consider the existence of stationary or pinned waves of reaction–diffusion equations in heterogeneous media. By combining averaging, homogenization and dynamical-systems techniques we prove under mild non-degeneracy conditions that if the heterogeneity is periodic with period , pinned solutions persist at most for intervals in parameter space whose length is O(e−c/√).
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Document Type: Research Article
Publication date: 01 October 2006