The density of infinitely differentiable functions in Sobolev spaces with mixed boundary conditions

Autor: Doktor, Pavel, Ženíšek, Alexander
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