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- W2963021622 abstract "We investigate two-dimensional invisibility cloaking viatransformation optics approach. The cloaking media possess much moresingular parameters than those having been considered forthree-dimensional cloaking in literature. Finite energy solutionsfor these cloaking devices are studied in appropriate weightedSobolev spaces. We derive some crucial properties of the singularlyweighted Sobolev spaces. The invisibility cloaking is then justifiedby decoupling the underlying singular PDEs into one problem in thecloaked region and the other one in the cloaking layer. We derivesome completely novel characterizations of the finite energysolutions corresponding to the singular cloaking problems.Particularly, some `hidden' boundary conditions on the cloakinginterface are shown for the first time. We present our study for avery general system of PDEs, where the Helmholtz equation underlyingacoustic cloaking is included as a special case." @default.
- W2963021622 created "2019-07-30" @default.
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- W2963021622 date "2011-01-01" @default.
- W2963021622 modified "2023-09-23" @default.
- W2963021622 title "Two dimensional invisibility cloaking via transformation optics" @default.
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- W2963021622 doi "https://doi.org/10.3934/dcds.2011.31.525" @default.
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