Nonlinear stability of traveling wave fronts for delayed reaction diffusion systems |
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Authors: | Guangying LvMingxin Wang |
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Affiliation: | a College of Mathematics and Information Science, Henan University, Kaifeng 475001, PR Chinab Natural Science Research Center, Harbin Institute of Technology, Harbin, 150080, PR China |
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Abstract: | This paper is concerned with nonlinear stability of traveling wave fronts for a delayed reaction diffusion system. We prove that the traveling wave front is exponentially stable to perturbation in some exponentially weighted L∞ spaces, when the difference between initial data and traveling wave front decays exponentially as x→−∞, but the initial data can be suitable large in other locations. Moreover, the time decay rates are obtained by weighted energy estimates. |
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Keywords: | Stability Delayed reaction diffusion system Traveling wave fronts Weighted energy |
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