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functional analysis - Please check proof of convergence in $L^2(0,T;L^2)$ of a composition (uses Nemytskii operator) - Mathematics Stack Exchange

https://math.stackexchange.com/questions/829707/please-check-proof-of-convergence-in-l20-tl2-of-a-composition-uses-nemyt?noredirect=1&lq=1

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