Operator estimates in homogenization theory (Q2832508)

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scientific article; zbMATH DE number 6652176
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English
Operator estimates in homogenization theory
scientific article; zbMATH DE number 6652176

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    Operator estimates in homogenization theory (English)
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    11 November 2016
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    shift method
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    integrated estimate
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    Steklov smoothing
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    periodicity
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    problem on the cell
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    asymptotics of the fundamental solution
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    spectral method
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    Bloch representation of an operator
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    Nash-Aronson estimate
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    The authors present a systematic treatment of two main methods used in operator estimates, namely the shift and the spectral method. The context where the two methods are described includes homogenization problems in the standard form, in perforated domains, unbounded diffusion matrix, non-self adjoint evolution equations and higher order elliptic operators.
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