On conformal spectral gap estimates of the Dirichlet-Laplacian; St. Petersburg Mathematical Journal; Vol. 31, iss. 2

Podrobná bibliografie
Parent link:	St. Petersburg Mathematical Journal Vol. 31, iss. 2.— 2020.— [P. 325-335]
Hlavní autor:	Goldshteyn V. M. Vladimir Mikhaylovich
Korporativní autor:	Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Další autoři:	Pchelintsev V. A. Valery Anatoljevich, Ukhlov A. D. Aleksandr Dadar-oolovich
Shrnutí:	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
Jazyk:	angličtina
Vydáno:	2020
Témata:	электронный ресурс труды учёных ТПУ
On-line přístup:	https://doi.org/10.1090/spmj/1599
Médium:	Elektronický zdroj Kapitola
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=662084

Popis
Shrnutí:	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
DOI:	10.1090/spmj/1599

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