On conformal spectral gap estimates of the Dirichlet-Laplacian; Алгебра и анализ; Т. 31, № 2
| Parent link: | Алгебра и анализ Т. 31, № 2.— 2019.— [С. 189-203] |
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| Autor Principal: | |
| Autor Corporativo: | |
| Outros autores: | , |
| Summary: | Заглавие с экрана We study spectral stability estimates of the Dirichlet eigenvalues of the Laplacian in nonconvex domains [omega] C R2. With the help of these estimates, we obtain asymptotically sharp inequalities of ratios of eigenvalues in the framework of the Payne-Pdlya-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: |
2019
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| Subjects: | |
| Acceso en liña: | https://elibrary.ru/item.asp?id=37078096 http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=aa&paperid=1643&option_lang=rus |
| Formato: | Electrónico Capítulo de libro |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=664671 |
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| 200 | 1 | |a On conformal spectral gap estimates of the Dirichlet-Laplacian |f V. A. Goldshtein, V. A. Pchelintsev, А. D. Ukhlov | |
| 203 | |a Текст |c электронный | ||
| 300 | |a Заглавие с экрана | ||
| 320 | |a [Библиогр.: 30 назв.] | ||
| 330 | |a We study spectral stability estimates of the Dirichlet eigenvalues of the Laplacian in nonconvex domains [omega] C R2. With the help of these estimates, we obtain asymptotically sharp inequalities of ratios of eigenvalues in the framework of the Payne-Pdlya-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 Алгебра и анализ | ||
| 463 | |t Т. 31, № 2 |v [С. 189-203] |d 2019 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a elliptic equations | |
| 610 | 1 | |a sobolev spaces | |
| 610 | 1 | |a conformal mappings | |
| 610 | 1 | |a эллиптические уравнения | |
| 610 | 1 | |a конформные отображения | |
| 700 | 1 | |a Goldshtein |b V. A. |g Vladimir | |
| 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 А. D. |g Alexander Dadaroolovich | |
| 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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| 856 | 4 | |u http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=aa&paperid=1643&option_lang=rus | |
| 942 | |c CF | ||