Modify the proof of Theorem 15.11 and show that (C_{c}^{infty}left(mathbb{R}^{n}ight)) is uniformly dense in (C_{c}left(mathbb{R}^{n}ight)). Data from

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Modify the proof of Theorem 15.11 and show that \(C_{c}^{\infty}\left(\mathbb{R}^{n}ight)\) is uniformly dense in \(C_{c}\left(\mathbb{R}^{n}ight)\).

Data from theorem 15.11

Theorem 15.11 Let X" be Lebesgue measure on R" and uELP (X") for some pe [1,00). The Friedrichs mollifier ou

Since fe(y)dy = 1, we get from Jensen's inequality and Tonelli's theorem, - ||u-uxell =   (u  (u(x) = u(x -

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