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] |
|---|---|
| 1. autor: | |
| Korporacja: | |
| Kolejni autorzy: | , |
| Streszczenie: | 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 |
| Język: | angielski |
| Wydane: |
2019
|
| Hasła przedmiotowe: | |
| Dostęp online: | https://elibrary.ru/item.asp?id=37078096 http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=aa&paperid=1643&option_lang=rus |
| Format: | Elektroniczne Rozdział |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=664671 |
| Streszczenie: | 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 |
|---|