Uniqueness and stability properties of monostable pulsating fronts (Q621853)
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scientific article; zbMATH DE number 5842814
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness and stability properties of monostable pulsating fronts |
scientific article; zbMATH DE number 5842814 |
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Uniqueness and stability properties of monostable pulsating fronts (English)
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28 January 2011
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The paper deals with pulsating traveling fronts for reaction-diffusion equations in periodic media with Kolmogorov-Petrovskii-Piskunov (KPP) nonlinearities. For any given speed the uniqueness of KPP pulsating fronts is shown. Stability properties of solutions of the Cauchy problem with front-like initial data are investigated for general monostable (which means that the fronts connect one unstable limiting state to a weakly stable one) nonlinearities.
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Kolmogorov-Petrovskii-Piskunov type nonlinearities
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periodic media
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