Sobolev extension operators and Neumann eigenvalues; Journal of Spectral Theory; Vol. 10, iss. 1
| Parent link: | Journal of Spectral Theory Vol. 10, iss. 1.— 2020.— [P. 337-353] |
|---|---|
| Autor principal: | Goldshteyn V. M. Vladimir Mikhaylovich |
| Autor corporatiu: | Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики |
| Altres autors: | Pchelintsev V. A. Valery Anatoljevich, Ukhlov A. D. Aleksandr Dadar-oolovich |
| Sumari: | Title screen In this paper we apply estimates of the norms of Sobolev extension operators to the spectral estimates of the first non-trivial Neumann eigenvalue of the Laplace operator in non-convex extension domains. As a consequence we obtain a connection between resonant frequencies of free membranes and the smallest-circle problem(initially proposed by J. J. Sylvester in 1857). Режим доступа: по договору с организацией-держателем ресурса |
| Idioma: | anglès |
| Publicat: |
2020
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| Matèries: | |
| Accés en línia: | https://doi.org/10.4171/JST/295 |
| Format: | Electrònic Capítol de llibre |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=663740 |
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