Geodesic
A Note on Gradient Young Measure Relaxation of Dieudonné-Rashevsky Type Control Problems with Integrands f(s, ξ, v)
Journal of convex analysis, Tome 21 (2014) no. 2, pp. 453-476

Voir la notice de l'article provenant de la source Heldermann Verlag

\def\R{\mathbb{R}} We prove a relaxation theorem for multidimensional control problems of Dieudonn\'e-Rashevsky type in terms of generalized controls. The main ingredient of the proof is a characterization theorem for gradient Young measures supported on the convex control domain $K\subset \R^{nm}$, which generalizes previous work of Kinderlehrer and Pedregal.
Classification : 26B25, 26E25, 46G10, 49J20, 49J45
Mots-clés : Multidimensional control problem, minimal value, nonconvex relaxation, lower semicontinuous quasiconvex envelope, gradient Young measure 
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     author = {M. Wagner},
     title = {A {Note} on {Gradient} {Young} {Measure} {Relaxation} of {Dieudonn\'e-Rashevsky} {Type} {Control} {Problems} with {Integrands} f(s, \ensuremath{\xi}, v)},
     journal = {Journal of convex analysis},
     pages = {453--476},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JCA_2014_21_2_JCA_2014_21_2_a7/}
}
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M. Wagner. A Note on Gradient Young Measure Relaxation of Dieudonné-Rashevsky Type Control Problems with Integrands f(s, ξ, v). Journal of convex analysis, Tome 21 (2014) no. 2, pp. 453-476. http://geodesic.mathdoc.fr/item/JCA_2014_21_2_JCA_2014_21_2_a7/