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Smooth functions and zero traces. (English) Zbl 0673.41014
Summary: In the present paper, we prove a possibility of approximation of a function $$f\in W^{k,p}(\Omega)$$ by smooth functions which vanish on the same part of the boundary as f.
##### MSC:
 41A30 Approximation by other special function classes 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
##### Keywords:
Sobolev spaces; density theorems
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