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] |
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| מחבר ראשי: | |
| מחבר תאגידי: | |
| מחברים אחרים: | , |
| סיכום: | 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 |
| שפה: | אנגלית |
| יצא לאור: |
2020
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| נושאים: | |
| גישה מקוונת: | https://doi.org/10.4171/JST/295 |
| פורמט: | אלקטרוני Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=663740 |
MARC
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| 200 | 1 | |a Sobolev extension operators and Neumann eigenvalues |f V. M. Goldshteyn, V. A. Pchelintsev, A. D. Ukhlov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 330 | |a 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). | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Journal of Spectral Theory | ||
| 463 | |t Vol. 10, iss. 1 |v [P. 337-353] |d 2020 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a elliptic equations | |
| 610 | 1 | |a Sobolev spaces | |
| 610 | 1 | |a extension operators | |
| 610 | 1 | |a эллиптические уравнения | |
| 610 | 1 | |a пространства Соболева | |
| 700 | 1 | |a Goldshteyn |b V. M. |g Vladimir Mikhaylovich | |
| 701 | 1 | |a Pchelintsev |b V. A. |c mathematician |c Senior Lecturer of Tomsk Polytechnic University, candidate of physico-mathematical Sciences |f 1988- |g Valery Anatoljevich |3 (RuTPU)RU\TPU\pers\35715 | |
| 701 | 1 | |a Ukhlov |b A. D. |g Aleksandr Dadar-oolovich | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Школа базовой инженерной подготовки |b Отделение математики и информатики |3 (RuTPU)RU\TPU\col\23555 |
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