Second-order conditions for non-uniformly convex integrands: quadratic growth in $L^1$
Optimization and Control
2023-06-22 v3
Abstract
We study no-gap second-order optimality conditions for a non-uniformly convex and non-smooth integral functional. The integral functional is extended to the space of measures. The obtained second-order derivatives contain integrals on lower-dimensional manifolds. The proofs utilize the convex pre-conjugate, which is an integral functional on the space of continuous functions. Applications to non-smooth optimal control problems are given.
Keywords
Cite
@article{arxiv.2111.10238,
title = {Second-order conditions for non-uniformly convex integrands: quadratic growth in $L^1$},
author = {Daniel Wachsmuth and Gerd Wachsmuth},
journal= {arXiv preprint arXiv:2111.10238},
year = {2023}
}