Ilmanen’s lemma on insertion of C functions
Improved -convexity inequalities.
Inequalities Involving Integrals of Polar-Conjugate Concave Functions.
Interior sphere property of attainable sets and time optimal control problems
This paper studies the attainable set at time T>0 for the control system showing that, under suitable assumptions on f, such a set satisfies a uniform interior sphere condition. The interior sphere property is then applied to recover a semiconcavity result for the value function of time optimal control problems with a general target, and to deduce C1,1-regularity for boundaries of attainable sets.
Iterierte arithmetische Mittelung und eine Verallgemeinerung der Jesenschen Ungleichung.