On convergence and asymptotically almost periodicity of solutions of reaction-diffusion systems (Q1072009)

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scientific article; zbMATH DE number 3942061
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On convergence and asymptotically almost periodicity of solutions of reaction-diffusion systems
scientific article; zbMATH DE number 3942061

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    On convergence and asymptotically almost periodicity of solutions of reaction-diffusion systems (English)
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    1985
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    The purpose of the paper is to study the asymptotic behavior of solutions of certain reaction-diffusion systems with time-dependent Dirichlet boundary conditions. The transmission of the convergence and of oscillations from the boundary into the domain is shown. The corresponding stationary problem admits at most one solution. An assumption on a relation between Lipschitz constants of reaction rate functions and diffusion constants plays the central role.
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    stationary solution
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    asymptotically almost periodicity
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    asymptotic behavior
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    reaction-diffusion systems
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    time-dependent Dirichlet boundary conditions
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    transmission of the convergence
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