Subdifferential Calculus Rules for Possibly Nonconvex Integral Functions
Rafael Corrêa, Abderrahim Hantoute, Pedro Pérez-Aros · SIAM Journal on Control and Optimization · 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.