Almost periodic traveling waves of nonlocal evolution equations (Q1612607)
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scientific article; zbMATH DE number 1788042
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost periodic traveling waves of nonlocal evolution equations |
scientific article; zbMATH DE number 1788042 |
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Almost periodic traveling waves of nonlocal evolution equations (English)
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25 August 2002
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The author considers a nonlocal version of the reaction-diffusion equation. It is assumed that the corresponding reaction equation is bistable, i.e. it has exactly three almost periodic solutions \(u_- < u_0 < u_+\) such that \(u_{\pm}\) is stable and \(u_0\) unstable. The main result is the existence of an almost periodic traveling wave that connects \(u_-\) and \(u_+\).
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nonlinear phase transition
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