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