O'Farrell, Anthony G. (1997) An Example on Sobolev Space Approximation. Bulletin of the London Mathematical Society, 29 (4). pp. 470474. ISSN 14692120
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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:  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: 
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