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It is surjective for a $C^1$ boundary, see Demengel & DemengelDemengel & Demengel, section 3.3. Following the proof will probably answer your question.

It is surjective for a $C^1$ boundary, see Demengel & Demengel, section 3.3. Following the proof will probably answer your question.

It is surjective for a $C^1$ boundary, see Demengel & Demengel, section 3.3. Following the proof will probably answer your question.

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It is surjective for a $C^1$ boundary, see Demengel & Demengel, section 3.3. Following the proof will probably answer your question.