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] |
|---|---|
| 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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समान संसाधन
-
On conformal spectral gap estimates of the Dirichlet-Laplacian; Алгебра и анализ; Т. 31, № 2
द्वारा: Goldshtein V. A. Vladimir
प्रकाशित: (2019) -
Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian; Journal of Mathematical Analysis and Applications; Vol. 463, iss. 1
द्वारा: Go'ldshtein V. M. Vladimir
प्रकाशित: (2018) -
Spectral stability estimates of Dirichlet divergence form elliptic operators; Analysis and Mathematical Physics; Vol. 10, iss. 4
द्वारा: Goldshtein V. M. Vladimir Mikhaylovich
प्रकाशित: (2020) -
Estimates for Dirichlet Eigenvalues of Divergence Form Elliptic Operators in Non-Lipschitz Domains; Journal of Mathematical Sciences; Vol. 268, iss. 3
द्वारा: Goldshteyn V. M. Vladimir Mikhaylovich
प्रकाशित: (2022) -
Spectral stability estimates of Neumann divergence form elliptic operators; Mathematical Reports; Vol. 23, iss. 1-2
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प्रकाशित: (2021)