Abstract. A complete proof of the trace theorem of Sobolev spaces on Lipschitz domains has not appeared in the literature yet. The purpose of this paper is to give a complete proof of the trace theorem of Sobolev spaces on Lipschitz domains by taking advantage of the intrinsic norm on H s (∂Ω). It is proved that the trace operator is a linear bounded operator from H s (Ω) to .
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