Existence and stability of traveling waves in periodic media governed by a bistable nonlinearity
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- Xin, X. J Dyn Diff Equat (1991) 3: 541. doi:10.1007/BF01049099
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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.