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Existence and stability of traveling waves in periodic media governed by a bistable nonlinearity
Authors:Xue Xin
Institution:(1) Courant Institute of Mathematical Sciences, 251 Mercer Street, 10012 New York, New York
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.
Keywords:Bistable reaction-diffusion equation  periodic media  traveling waves  spectral theory  existence and stability
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