On conformal spectral gap estimates of the Dirichlet-Laplacian; St. Petersburg Mathematical Journal; Vol. 31, iss. 2
| Parent link: | St. Petersburg Mathematical Journal Vol. 31, iss. 2.— 2020.— [P. 325-335] |
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| Autor Principal: | |
| Autor Corporativo: | |
| Outros autores: | , |
| Summary: | Title screen We study spectral stability estimates of the Dirichlet eigenvalues of the Laplacian in nonconvex domains . With the help of these estimates, we obtain asymptotically sharp inequalities of ratios of eigenvalues in the framework of the Payne-Pólya-Weinberger inequalities. These estimates are equivalent to spectral gap estimates of the Dirichlet eigenvalues of the Laplacian in nonconvex domains in terms of conformal (hyperbolic) geometry. Режим доступа: по договору с организацией-держателем ресурса |
| Idioma: | inglés |
| Publicado: |
2020
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| Subjects: | |
| Acceso en liña: | https://doi.org/10.1090/spmj/1599 |
| Formato: | Electrónico Capítulo de libro |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=662084 |
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| 200 | 1 | |a On conformal spectral gap estimates of the Dirichlet-Laplacian |f V. M. Goldshteyn, V. A. Pchelintsev, A. D. Ukhlov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 30 tit.] | ||
| 330 | |a We study spectral stability estimates of the Dirichlet eigenvalues of the Laplacian in nonconvex domains . With the help of these estimates, we obtain asymptotically sharp inequalities of ratios of eigenvalues in the framework of the Payne-Pólya-Weinberger inequalities. These estimates are equivalent to spectral gap estimates of the Dirichlet eigenvalues of the Laplacian in nonconvex domains in terms of conformal (hyperbolic) geometry. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t St. Petersburg Mathematical Journal | ||
| 463 | |t Vol. 31, iss. 2 |v [P. 325-335] |d 2020 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 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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