Multidimensional stability of traveling fronts in monostable reaction-diffusion equations with complex perturbations |
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Authors: | HuiHui Zeng |
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Institution: | 14617. Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China
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Abstract: | This paper studies the multidimensional stability of traveling fronts in monostable reaction-diffusion equations, including Ginzburg-Landau equations and Fisher-KPP equations. Eckmann andWayne (1994) showed a one-dimensional stability result of traveling fronts with speeds c ? c * (the critical speed) under complex perturbations. In the present work, we prove that these traveling fronts are also asymptotically stable subject to complex perturbations in multiple space dimensions (n = 2, 3), employing weighted energy methods. |
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