Sobolev extension operators and Neumann eigenvalues; Journal of Spectral Theory; Vol. 10, iss. 1

Sobolev extension operators and Neumann eigenvalues; Journal of Spectral Theory; Vol. 10, iss. 1

Dettagli Bibliografici
Parent link:	Journal of Spectral Theory Vol. 10, iss. 1.— 2020.— [P. 337-353]
Autore principale:	Goldshteyn V. M. Vladimir Mikhaylovich
Ente Autore:	Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Altri autori:	Pchelintsev V. A. Valery Anatoljevich, Ukhlov A. D. Aleksandr Dadar-oolovich
Riassunto:	Title screen In this paper we apply estimates of the norms of Sobolev extension operators to the spectral estimates of the first non-trivial Neumann eigenvalue of the Laplace operator in non-convex extension domains. As a consequence we obtain a connection between resonant frequencies of free membranes and the smallest-circle problem(initially proposed by J. J. Sylvester in 1857). Режим доступа: по договору с организацией-держателем ресурса
Lingua:	inglese
Pubblicazione:	2020
Soggetti:	электронный ресурс труды учёных ТПУ elliptic equations Sobolev spaces extension operators эллиптические уравнения пространства Соболева
Accesso online:	https://doi.org/10.4171/JST/295
Natura:	Elettronico Capitolo di libro
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=663740

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