SMS scnews item created by Daniel Hauer at Wed 7 Aug 2019 0618
Type: Seminar
Distribution: World
Expiry: 12 Aug 2019
Calendar1: 12 Aug 2019 1200-1300
CalLoc1: AGR Carslaw 829
CalTitle1: Asymptotic estimates of s-numbers of Sobolev-type embeddings
Auth: dhauer@203.54.34.178 (dhauer) in SMS-WASM

# Asymptotic estimates of s-numbers of Sobolev-type embeddings

### Petr Gurka

Petr Gurka
Czech University of Life Sciences Prague, Czech Republic
Mon 12th Aug 2019, 12-1pm, Carslaw Room 829 (AGR)

## Abstract

In a quite recent paper of D. E. Edmunds and J. Lang, Asymptotic formulae for $s$-numbers of a Sobolev embedding and a Volterra type operator (published in [Rev. Mat. Complut., 29(1), 2016]) the authors obtained sharp upper and lower estimates of the approximation numbers of a Sobolev embedding involving second derivatives and of a corresponding integral operator of Volterra type. We discuss possible extensions of these results for higher order derivatives. Namely, we obtain estimates for the embedding of Sobolev type involving derivatives of order four.

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