Second-order conditions for non-uniformly convex integrands: quadratic growth in $L^1$
نویسندگان
چکیده
We study no-gap second-order optimality conditions for a non-uniformly convex and non-smooth integral functional. The functional is extended to the space of measures. obtained derivatives contain integrals on lower-dimensional manifolds. proofs utilize pre-conjugate, which an continuous functions. Applications optimal control problems are given.
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ژورنال
عنوان ژورنال: Journal of nonsmooth analysis and optimization
سال: 2022
ISSN: ['2700-7448']
DOI: https://doi.org/10.46298/jnsao-2022-8733