Sobolev extension operators and Neumann eigenvalues

Bibliographic Details
Parent link:	Journal of Spectral Theory Vol. 10, iss. 1.— 2020.— [P. 337-353]
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 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
Published:	2020
Subjects:	электронный ресурс труды учёных ТПУ elliptic equations Sobolev spaces extension operators эллиптические уравнения пространства Соболева
Online Access:	https://doi.org/10.4171/JST/295
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=663740

Internet

https://doi.org/10.4171/JST/295