Unbounded perturbation of the exponential dichotomy for evolution equations (Q1923678)

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scientific article; zbMATH DE number 933283
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Unbounded perturbation of the exponential dichotomy for evolution equations
scientific article; zbMATH DE number 933283

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    Unbounded perturbation of the exponential dichotomy for evolution equations (English)
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    24 November 1996
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    It is proved that the exponential dichotomy for evolutions in Banach spaces remains valid if the equation is perturbed by ``small'' unbounded linear operators. This fact is applied to partial parabolic equations and functional differential equations.
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    exponential dichotomy
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    evolutions in Banach spaces
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    partial parabolic equations
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    functional differential equations
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