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Possible Duplicate:
Understanding denseness of $C^\infty$ in $L^p$ space.

I am looking for a proof that shows $C^\infty(\Omega)$ is dense in $L^p(\Omega)$ . Any hints would be appreciated. Where $\Omega\subset \mathbb R^n$.

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    Ok, I missed that your $\Omega$ is open. But again, [this](http://www.math.ucsd.edu/~bdriver/240A-C-03-04/Lecture_Notes/Older-Versions/chap22.pdf) might be helpful ;-)2012-05-20

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