2020 •
Sobolev extension operators and Neumann eigenvalues
Authors: Goldshtein, Vladimir, Pchelintsev, Valeriy A., Ukhlov, Alexander
Venue: Journal of Spectral Theory
Type: Publication
Abstract: In this paper we apply estimates of the norms of Sobolev extension operators to the spectral estimates of of the first nontrivial 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).
Popularity: This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the
underlying citation network.
Influence: This indicator reflects the overall/total impact of an article in the research community at large, based on the
underlying citation network (diachronically).
Citation Count: This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in
the research community at large, based on the underlying citation network (diachronically).
Impulse: This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation
network.
We have placed cookies on your device to help make this website and the services we offer better. By using this site, you agree to the use of cookies. Learn more