Compactness principle for periodic singular and fine structures |
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| Authors: | V. V. Shumilova |
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| Affiliation: | (1) Vladimir State University, Murom Institute (branch), Russia |
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| Abstract: | We consider the compactness principle in the variable space L 2 related to a periodic Borel measure. It is assumed that the periodic Borel measure determines a periodic singular (i.e., irregular) or fine structure. We prove the compactness principle for the periodic singular and fine grids, box structures, and composite structures in the plane and in space. |
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| Keywords: | compactness principle grid periodic Borel measure Poincaré inequality two-scale convergence box structure composite structure |
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