The density of infinitely differentiable functions in Sobolev spaces with mixed boundary conditions
Autor: | Doktor, Pavel, Ženíšek, Alexander |
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Zdroj: | Applications of Mathematics; October 2006, Vol. 51 Issue: 5 p517-547, 31p |
Abstrakt: | Abstract: We present a detailed proof of the density of the set $$C^\infty (\bar \Omega ) \cap V$$ in the space of test functions V ⊂ H 1 (Ω) that vanish on some part of the boundary ∂Ω of a bounded domain Ω. |
Databáze: | Supplemental Index |
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