Abstract
We prove the existence of multidimensional traveling wave solutions of the bistable reaction-diffusion equation with periodic coefficients under the condition that these coefficients are close to constants. In the case of one space dimension, we prove their asymptotic stability.
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Xin, X. Existence and stability of traveling waves in periodic media governed by a bistable nonlinearity. J Dyn Diff Equat 3, 541–573 (1991). https://doi.org/10.1007/BF01049099
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DOI: https://doi.org/10.1007/BF01049099