Homogenization of Neumann boundary data with fully nonlinear operator (Q371185)

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scientific article; zbMATH DE number 6212818
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Homogenization of Neumann boundary data with fully nonlinear operator
scientific article; zbMATH DE number 6212818

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    Homogenization of Neumann boundary data with fully nonlinear operator (English)
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    27 September 2013
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    The authors consider the periodic homogenization of a class of fully nonlinear PDEs posed in half-spaces with oscillatory Neumann data. They prove the existence and uniqueness of the homogenized problem. Additionally, they show that there exists a continuous extension of the homogenized slope as the normal of the half-space varies over ``irrational'' directions.
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    boundary layer
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    periodic homogenization
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    oscillatory Neumann data
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