Almost periodicity of all \(L^2\)-bounded solutions of a functional heat equation (Q1988613)
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scientific article; zbMATH DE number 7192941
| Language | Label | Description | Also known as |
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| English | Almost periodicity of all \(L^2\)-bounded solutions of a functional heat equation |
scientific article; zbMATH DE number 7192941 |
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Almost periodicity of all \(L^2\)-bounded solutions of a functional heat equation (English)
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23 April 2020
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The aim of this paper is study the existence of almost periodic solutions for some reaction-diffusion equations with delay. The authors prove that each \(L^2\)-bounded solution on \(\mathbb R\) is almost periodic. The linear part is given by the Laplacian operator on a smooth domain, the nonlinear part is assumed to be Lipschitzian and almost periodic in \( t\).
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functional heat equations
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Poincaré inequality
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Hölder inequality
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almost periodic solutions
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reaction-diffusion equations with delay
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0.8298134803771973
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0.8232730627059937
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0.8093392848968506
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