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• W2997138435 abstract "In this paper we study the asymptotic behavior of second-order uniformly elliptic operators on weighted Riemannian manifolds. They naturally emerge when studying spectral properties of the Laplace-Beltrami operator on families of manifolds with rapidly oscillating metrics. We appeal to the notion of H-convergence introduced by Murat and Tartar. In our main result we establish an H-compactness result that applies to elliptic operators with measurable, uniformly elliptic coefficients on weighted Riemannian manifolds. We further discuss the special case of ``locally periodic'' coefficients and study the asymptotic spectral behavior of compact submanifolds of $mathbb R^n$ with rapidly oscillating geometry." @default.
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• W2997138435 date "2019-01-01" @default.
• W2997138435 modified "2023-10-03" @default.
• W2997138435 title "<i>H</i>-Compactness of Elliptic Operators on Weighted Riemannian Manifolds" @default.
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• W2997138435 doi "https://doi.org/10.4036/iis.2019.b.03" @default.
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