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Finding an upper bound on composite $C^{1}$ functions
The conditions for the problem I am currently tackling is as follows:
Let $T, M > 0$. Define :
$X_{T} := \{ u \in C^{1} ([0,T]) : ||u||_{T} \leq 2M \}$
where $||u||_{T} \ = \ ^{\text{sup}}_{t \in (...