SIAM Journal on Control and Optimization, Volume 58, Issue 1, Page 462-484, January 2020.
We are concerned with the subdifferentials of integral functionals and functions given in the form $E_f(x)=\int_{T} f(t,x)d\mu$, for a possibly nonconvex normal integrand f defined on a separable Banach with separable dual and a nonnegative sigma-finite measure mu. We establish some limit-based estimates for the Fréchet and the limiting subdifferentials of E_f, covering the cases of Lipschitz and non-Lipschitz integrands.

中文翻译：

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非凸积分函数的亚微积分规则

SIAM控制与优化杂志，第58卷，第1期，第462-484页，2020年1月。
我们关注积分函数和函数的次微分，形式为$ E_f（x）= \ int_ {T} f（t ，x）d \ mu $，用于在可分离Banach上定义的可能非凸正整数被积f，可分离Banach具有可对偶和非负sigma有限度量mu。我们建立了基于极限的Fréchet估计和E_f的极限亚微分，涵盖了Lipschitz和非Lipschitz积分的情况。