Almost periodic solutions to systems of parabolic equations (Q1346204)

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scientific article; zbMATH DE number 735704
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Almost periodic solutions to systems of parabolic equations
scientific article; zbMATH DE number 735704

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    Almost periodic solutions to systems of parabolic equations (English)
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    21 September 1995
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    The author proves that the solution of a system of nonlinear parabolic equations is \(L^ 2\)-almost periodic, provided it is \(L^ 2\)-bounded, and the growth of the components of the nonlinear functions of the system is bounded by any pair of consecutive eigenvalues of the associated Dirichlet boundary value problem.
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    \(L^ 2\)-almost periodic solution
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