Ilmanen’s lemma on insertion of C functions
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Improved -convexity inequalities.
Satnoianu, Razvan A. (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Inequalities Involving Integrals of Polar-Conjugate Concave Functions.
M. Meyer, S. Reisner (1998)
Monatshefte für Mathematik
Interior sphere property of attainable sets and time optimal control problems
Piermarco Cannarsa, Hélène Frankowska (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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.
H. Wellstein (1982)
Elemente der Mathematik
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