Approximation of semigroups of Lipschitz operators (Q1759917)

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scientific article; zbMATH DE number 6109979
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Approximation of semigroups of Lipschitz operators
scientific article; zbMATH DE number 6109979

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    Approximation of semigroups of Lipschitz operators (English)
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    22 November 2012
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    The authors obtain an approximation theorem of semigroups of Lipschitz operators which are closely related with the abstract Cauchy problem in a Banach space. The main result is an extension of an important theorem by Miyadera-Kobayashi. The authors apply their main result to the projection method for the two-dimensional Navier-Stokes equations.
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    Navier Stokes equations
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    abstract Cauchy problem
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    approximation theorem
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    semigroup of Lipschitz operators
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    stability condition
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    consistency condition
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    projection method
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