On conformal spectral gap estimates of the Dirichlet-Laplacian

Bibliographic Details
Parent link:	St. Petersburg Mathematical Journal Vol. 31, iss. 2.— 2020.— [P. 325-335]
Main Author:	Goldshteyn V. M. Vladimir Mikhaylovich
Corporate Author:	Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Other Authors:	Pchelintsev V. A. Valery Anatoljevich, Ukhlov A. D. Aleksandr Dadar-oolovich
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
Language:	English
Published:	2020
Subjects:	электронный ресурс труды учёных ТПУ
Online Access:	https://doi.org/10.1090/spmj/1599
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=662084

Internet

https://doi.org/10.1090/spmj/1599