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- W4385965536 abstract "In this paper, we show that for any integer $k in mathbb{N}$ there exists a Sobolev sheaf (in the sense of Lebeau) on any definable site of $mathbb{R}^2$ that agrees with Sobolev spaces on cuspidal domains. We also provide a complete computation of the cohomology of these sheaves using the notion of 'Good direction' introduced by Valette. This paper serves as an introduction to a more general project on the sheafification of Sobolev spaces in higher dimensions." @default.
- W4385965536 created "2023-08-18" @default.
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- W4385965536 date "2023-08-15" @default.
- W4385965536 modified "2023-10-12" @default.
- W4385965536 title "Sobolev sheaves on the plane" @default.
- W4385965536 doi "https://doi.org/10.48550/arxiv.2308.08077" @default.
- W4385965536 hasPublicationYear "2023" @default.
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