Second-order conditions for non-uniformly convex integrands: quadratic
growth in $L^1$Article
Authors: Daniel Wachsmuth ; Gerd Wachsmuth
NULL##0000-0002-3098-1503
Daniel Wachsmuth;Gerd Wachsmuth
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.