The density of infinitely differentiable functions in Sobolev spaces with mixed boundary conditions |
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| Authors: | Pavel Doktor Alexander ?ení?ek |
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| Institution: | (1) Českolipská 12, 190 00 Prague 9, Czech Republic;(2) Department of Mathematics FME, Technická 2, 616 69 Brno, Czech Republic |
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| Abstract: | We present a detailed proof of the density of the set
in the space of test functions V ⊂ H
1 (Ω) that vanish on some part of the boundary ∂Ω of a bounded domain Ω.
This work was supported by the grants GAČR 201/03/0570 and MSM 262100001. |
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| Keywords: | density theorems finite element method |
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