Article contents
AN EXAMPLE ON SOBOLEV SPACE APPROXIMATION
Published online by Cambridge University Press: 01 July 1997
Abstract
For each d[ges ]2 we construct a connected open set Ω⊂ℝd such that Ω=int (clos(Ω)), and for each k[ges ]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).
- Type
- Research Article
- Information
- Copyright
- © The London Mathematical Society 1997
- 4
- Cited by