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Convergence to travelling waves in Fisher's population genetics model with a non-Lipschitzian reaction term - MaRDI portal

Convergence to travelling waves in Fisher's population genetics model with a non-Lipschitzian reaction term (Q2408053)

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Convergence to travelling waves in Fisher's population genetics model with a non-Lipschitzian reaction term
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    Convergence to travelling waves in Fisher's population genetics model with a non-Lipschitzian reaction term (English)
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    9 October 2017
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    The authors consider one-dimensional semilinear Fisher equations with unbalanced bistable non-Lipschitzian nonlinearity. They study existence, uniqueness, and long-time behavior of the solutions. Moreover, they establish the existence and uniqueness of travelling wave solutions. Finally, the domain of attraction of the traveling wave is characterized.
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    Fisher's equation
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    unbalanced bistable nonsmooth nonlinearity
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    mild solution of the Cauchy problem
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    convergence to a travelling wave
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