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

ग्रंथसूची विवरण
Parent link:St. Petersburg Mathematical Journal
Vol. 31, iss. 2.— 2020.— [P. 325-335]
मुख्य लेखक: Goldshteyn V. M. Vladimir Mikhaylovich
निगमित लेखक: Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
अन्य लेखक: Pchelintsev V. A. Valery Anatoljevich, Ukhlov A. D. Aleksandr Dadar-oolovich
सारांश: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
भाषा:अंग्रेज़ी
प्रकाशित: 2020
विषय:
ऑनलाइन पहुंच:https://doi.org/10.1090/spmj/1599
स्वरूप: इलेक्ट्रोनिक पुस्तक अध्याय
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=662084

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