The author claims to have used Holder's inequality, but as I understand Holder's inequality is used to estimate the norm of the product of two functions yet here the result shows a sum in the righthand side of the following inequality, am I missing something, or did the author forget to mention an other result he used?

Note that $Q_T:=\Omega \times (0,T)$ where $\Omega \subset \mathbb{R}^d$ is an open bounded set with regular boundary and $\epsilon>0$.

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  • 1
    $\begingroup$ they used the inequality $(a-b)^2 \le 2 a^2 + 2 b^2$ $\endgroup$
    – daw
    Jan 18, 2022 at 7:31


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