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arXiv 2018-01-09 0 views

A density result for homogeneous Sobolev spaces on planar domains

Nandi, Debanjan · Rajala, Tapio · Schultz, Timo

Original · EN

We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wᵏ,∞(Ω)∩ C∞(Ω) are dense in the homogeneous Sobolev spaces Lᵏ,ᵖ(Ω).

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