Subdifferentiation of integral functionals

Subdifferentiation of integral functionals We examine how the subdifferentials of nonconvex integral functionals can be deduced from the subdifferentials of the corresponding integrand or at least be estimated with the help of them. In fact, assuming some regularity properties of the integrands, we obtain exact expressions for the subdifferentials of the integral functionals. We draw some consequences in terms of duality for such integral functionals, extending in this way the early work of Rockafellar to the nonconvex case. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematical Programming Springer Journals

Subdifferentiation of integral functionals

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer-Verlag GmbH Germany and Mathematical Optimization Society
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Mathematics of Computing; Numerical Analysis; Combinatorics; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics
ISSN
0025-5610
eISSN
1436-4646
D.O.I.
10.1007/s10107-017-1204-x
Publisher site
See Article on Publisher Site

Abstract

We examine how the subdifferentials of nonconvex integral functionals can be deduced from the subdifferentials of the corresponding integrand or at least be estimated with the help of them. In fact, assuming some regularity properties of the integrands, we obtain exact expressions for the subdifferentials of the integral functionals. We draw some consequences in terms of duality for such integral functionals, extending in this way the early work of Rockafellar to the nonconvex case.

Journal

Mathematical ProgrammingSpringer Journals

Published: Nov 17, 2017

References

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