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Abstract In the present paper, we generalize the theory of quantitative homogenization for second-order elliptic systems with rapidly oscillating coefficients in A P W 2 ( R d ) ,… Click to show full abstract
Abstract In the present paper, we generalize the theory of quantitative homogenization for second-order elliptic systems with rapidly oscillating coefficients in A P W 2 ( R d ) , which is the space of almost-periodic functions in the sense of H. Weyl. We obtain the large scale uniform boundary Lipschitz estimate, for both Dirichlet and Neumann problems in C 1 , α domains. We also obtain large scale uniform boundary Holder estimates in C 1 , α domains and L 2 Rellich estimates in Lipschitz domains.
Keywords:
periodic homogenization;
uniform boundary;
boundary regularity;
almost periodic;
regularity almost
Journal Title: Journal of Differential Equations
Year Published: 2017
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!