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Boundary behavior of functions from Sobolev classes defined on domains with exterior peak
M. Yu. Vasil'chik, I. M. Pupysheva a Novosibirsk State Technical University, Novosibirsk, Russia
Abstract:
We establish an invertible characteristic of the boundary behavior of functions from Sobolev spaces defined on a space domain having a vertex of exterior peak on the boundary. The boundary is assumed sufficiently smooth in a neighborhood of the peak vertex. The description of the traces on the boundary is given with the use of weighted Besov spaces.
Key words:
Sobolev space, weighted Besov space, peak, boundary behavior of functions.
Received: 18.08.2013
Citation:
M. Yu. Vasil'chik, I. M. Pupyshev, “Boundary behavior of functions from Sobolev classes defined on domains with exterior peak”, Mat. Tr., 17:1 (2014), 70–98; Siberian Adv. Math., 24:4 (2014), 261–281
Linking options:
https://www.mathnet.ru/eng/mt267 https://www.mathnet.ru/eng/mt/v17/i1/p70
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Abstract page: | 333 | Full-text PDF : | 86 | References: | 71 | First page: | 18 |
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