I want to know, if there is any result, that generalizes the boundedness of the derivative of the Moreau-Enveloppe of a convex, lower semicontinuous functional. One can prove the boundedness from $V$ to $V^*$, but I need the boundedness from $L^2(0,T,V)$ to it's dual $L^2(0,T,V^*)$.
Moreau-Enveloppe from $L^2(0,T;V) \to L^2(0,T;V^*)$
malwin
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