O'Farrell, Anthony G. (1997) An Example on Sobolev Space Approximation. Bulletin of the London Mathematical Society, 29 (4). pp. 470-474. ISSN 1469-2120
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Official URL: http://blms.oxfordjournals.org/cgi/reprint/29/4/47...
Abstract
For each d ≥ 2 we construct a connected open set Ω ⊂ d such that Ω =int(clos(Ω)) and for each k ≥ 1 and each p ∈ [1,+ ∞), the subset Wk,∞(Ω) fails to be dense in the Sobolev space Wk,p(Ω), in the norm of Wk,p(Ω).
| Item Type: | Article |
|---|---|
| Keywords: | Sobolev Space approximation. |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 1809 |
| Identification Number: | https://doi.org/10.1112/S0024609396002901 |
| Depositing User: | Prof. Anthony O'Farrell |
| Date Deposited: | 25 Jan 2010 15:07 |
| Journal or Publication Title: | Bulletin of the London Mathematical Society |
| Publisher: | Oxford University Press, |
| Refereed: | No |
| URI: | |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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