Geodesic
Singular characteristics of the piecewise-smooth minimax solution of the equation of Hamilton--Jacobi--Bellman
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 149-154

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In this paper we study the properties of the minimax piecewise-smooth solution of the Hamilton–Jacobi–Bellman equation. We raise the question of existence of the singular characteristic and properties of the solution related to it.
Keywords: Hamilton–Jacobi–Bellman's equation, minimax solution, singular set, piecewise-smooth solution, Rankin–Hugoniot's condition, singular characteristic.
Mots-clés : tangent space 
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     author = {A. S. Rodin},
     title = {Singular characteristics of the piecewise-smooth minimax solution of the equation of {Hamilton--Jacobi--Bellman}},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {149--154},
     publisher = {mathdoc},
     volume = {46},
     number = {2},
     year = {2015},
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     url = {http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a19/}
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A. S. Rodin. Singular characteristics of the piecewise-smooth minimax solution of the equation of Hamilton--Jacobi--Bellman. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 149-154. http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a19/